A solution is formed by mixing 15.2 g KOH into
1.200 kg water. Use the periodic table to find the
moles of solute.

Answers

Answer 1

Answer:

There are approximately \(0.271\; \rm mol\) of formula units in that \(\rm 15.2\; g\) of \(\rm KOH\) (the solute of this solution.)

Explanation:

A solution includes two substances: the solute and the solvent. Note the solution here contains significantly more water than \(\rm KOH\). Hence, assume that water is the solvent (as it is in many other solutions.)

The (molar) formula mass of \(\rm KOH\) is necessary for finding the number of moles of

One \(\rm K\) atom, One \(\rm O\) atom, andOne \(\rm H\) atom.

The formula mass of \(\rm KOH\) will thus be the sum of:

The mass of one mole of \(\rm K\) atoms, The mass of one mole of \(\rm O\) atoms, andThe mass of one mole of \(\rm H\) atoms.

On the other hand, the mass (in grams) of one mole of atoms of an element is (numerically) the same as its relative atomic mass. The relative atomic mass data can be found on most modern periodic tables.

Relative atomic mass data from a modern periodic table:

\(\rm K\): \(39.098\).\(\rm O\): \(15.999\).\(\rm H\): \(1.008\).

For example, the relative atomic mass of \(\rm K\) (potassium, atomic number \(19\)) is \(39.098\) (3 sig. fig.) Hence, the mass of one mole of

The formula mass of \(\rm KOH\) is the sum of these three masses:

\(\begin{aligned}& M(\mathrm{KOH}) \\ &\approx 39.098 + 15.999 + 1.008 \\ &= 56.105\; \rm g \cdot mol^{-1}\end{aligned}\).

The number of moles of \(\rm KOH\) formula units in this \(15.2\; \rm g\) sample would be:

\(\begin{aligned}n &= \frac{m(\mathrm{KOH})}{M(\mathrm{KOH})} \\ &\approx \frac{15.2\; \rm g}{56.105\; \rm g \cdot mol^{-1}} \approx 0.271\; \rm mol \end{aligned}\).

Answer 2

Answer:

the answer is 0.271

Explanation:

got the right answer on edg 2020


Related Questions

The photo shows a Newton's cradle. The ball on the left can be pulled away
from the others. After the ball is released, it strikes the next ball in line and
the ball on the far right side of the toy moves up and away,
What most likely explains the motion of the ball on the far right?
A. The mechanical energy of the ball on the left is transferred in the
form of waves to the ball on the right
B. The potential energy of the ball on the left is transferred directly to
the ball on the right
C. The potential energy of the ball on the left is transferred in the
form of waves to the ball on the root
D. The mechanical energy of the ball on the left is transferred through
the other balls to the ball on the right

The photo shows a Newton's cradle. The ball on the left can be pulled awayfrom the others. After the

Answers

The characteristics of the conservation of energy and momentum allow to find the result for the movement of the balls, the correct answer is:

      D. The mechanical energy of the ball on the left is transferred through

the other balls to the ball on the right.

 

Mechanical energy is the sum of the kinetic energy and the potential energies. In the case that there is no friction, the mechanical energy is conserved.

The momentum is defined by the product of the mass and the velocity of the body, in an isolated system the momentum is conserved and the shocks can be of two types:

Inelastic. Where part of the energy is transformed into internal energy and the kinetic energy is not conserved. Elastic. Where kinetic energy is conserved.

In the case indicated, when removing the ball, it gains a height, therefore if the initial mechanical energy is

          Em₀ = mgh

When it reaches the lowest point, just before it hits the ball its energy is:

           \(Em_f\) = 1 / 2m v²

          Em₀ = Em_f

          v = \(\sqrt{2gh}\)  

           

collides with the other ball and transfers its momentum in an elastic collision, the balls do not stick, as all the energy of the ball is kinetic, this energy is transferred to each ball until it reaches the last one, where the kinetic energy is transformed into potential energy a increases its height.

Let's analyze the answers:

A. False. This is a collision of particles there are no waves.

B. False. At the lowest point the ball on the left has kinetic energy.

C. False. It is a collision of particles, there are no waves.

D. True. The energy from the elastic collisions is transferred through each ball until it reaches the last ball.

In conclusion, using the characteristics of the conservation of energy and momentum, we can find the result for the movement of the balls, the correct answer is:

      D.  The mechanical energy of the ball on the left is transferred through the other balls to the ball on the right

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A chemist working for Udensi industries wants to create a new ink for tattoos and cosmetics. Determine the theoretical yield of iron (ll) sulfide if the chemist uses 22.5 grams of iron ? Type of rxn : AD , SR, DR , D Type of calculation : mol to mol ; mol to mass ; mass to mols mass to mass Fe S8--> Fes

A chemist working for Udensi industries wants to create a new ink for tattoos and cosmetics. Determine

Answers

Answer:

35.36 g

Explanation:

We'll begin by writing the balanced equation for the reaction. This is illustrated below:

8Fe + S₈ —> 8FeS

Next, we shall determine the mass of Fe that reacted and the mass of FeS produced from the balanced equation. This can be obtained as follow:

Molar mass of Fe = 56 g/mol

Mass of Fe from the balanced equation = 8 × 56 = 448 g

Molar mass of FeS = 56 + 32 = 88 g/mol

Mass of FeS from the balanced equation = 8 × 88 = 704 g

SUMMARY:

From the balanced equation above,

448 g of Fe reacted to produce 704 g of FeS.

Finally, we shall determine the theoretical yield of FeS as follow:

From the balanced equation above,

448 g of Fe reacted to produce 704 g of FeS.

Therefore, 22.5 g of Fe will react to produce = (22.5 × 704)/448 = 35.36 g of FeS.

Thus, the theoretical yield of FeS is 35.36 g

A sample of gas is placed into an enclosed cylinder and fitted with a movable piston. Calculate the work (in joules) done by the gas if it expands from 4.22 L to 15.61 L against a pressure of 5.63 atm.

Answers

Answer:

The work is -6,497.54 J

Explanation:

Work is the amount of energy transferred from one system to another by a force when a displacement occurs.

The work exchanged for a gas depends on the transformation it performs to go from the initial state to the final state.

The pressure - volume work done by a system that compresses or expands at constant pressure is given by the expression:

W= -P*ΔV

where

W is the work exchanged by the system with the environment. Its unit of measure in the International System is the joule (J), which is equivalent to  Pa*m³P: Pressure. Its unit of measurement in the International System is the pascal (Pa). ∆V: Volume variation (∆V = Vfinal - Vinitial). Its unit of measurement in the International System is cubic meter (m³)

In this case:

Wsystem=?P= 5.63 atm=570,459.8 Pa (being 1 atm=101325 Pa)ΔV=Vfinal - Vinitial= 15.61 L - 4.22 L= 11.39 L= 0.01139 m³ (being 1 L=0.001 m³)

Replacing:

W=  -570,459.8 Pa*0.01139 m³

Solving:

W=-6,497.54 J

The work is -6,497.54 J

how many molecules of p2o5 are there in 7.32 moles

Answers

In order to answer this question, we will need to Avogadro's number, which represents the number of atoms or molecules within 1 mol of a compound, this number is equal to 6.02*10^23 atoms or molecules, now we want to know how many molecules there are in 7.32 moles, we will do that by performing the following calculation:

1 mol = 6.02*10^23 molecules

7.32 moles = x molecules

x = 4.41*10^24 molecules

Physical science:verification on newton's second law

Answers

F=ma

(a) when the mass of an object is fixed , measure the relationship between external force F and acceleration a.

(b) when the external force F. fixed , measure the relationship between mass of the moving object m and it's acceleration a .

Thank you.......Hope it will helps you

Can I get brainlist..........

What did ancient astronomers not know about eclipses?

Answers

Answer:

yes of course everyone know eclipse in ancient January 2004 eclipse was founded in other country's

A firework is fired from the ground straight up on a planet with an acceleration due to gravity of 6.82 m/s/s. The firework will not explode until the moment where it would have started to move back down again. The initial speed of the firework is 69.5 m/s. Use this information to find the height at which the firework explodes and the time it will be traveling upward.

Answers

Answer:

h = 384.4 m

t = 8.5 s

Explanation:

The firework will explode at the highest point. Because it would start to move downward at the highest point. Using 3rd equation of motion:

2ah = Vf² - Vi²

where,

a = acceleration due to gravity at that planet = -10.56 m/s²

h = maximum height = ?

Vf = Final velocity = 0 m/s (since, firework stops at highest point)

Vi = Initial Velocity = 90.1 m/s

Therefore,

2(-10.56 m/s²)(h) = (0 m/s)² - (90.1 m/s)²

h = 384.4 m

Now, we use 1st equation of motion:

Vf = Vi + at

0 m/s = 90.1 m/s + (-10.56 m/s²)(t)

t = 8.5 ss

How many moles of hydrogen are needed to completely react with 2.41 moles of nitrogen

Answers

6 moles H
2 good luck

What is the amount of energy required to raise the temperature of 150 grams of aluminum by 10°C?
Group of answer choices

A. 13.45 J

B. 0.897 J

C. 1345.5 J

D. 4.18 J

Answers

Answer:

C.) 1345.5 J

Explanation:

To find the energy, you need to use the following equation:

Q = mcΔT

In this equation,

-----> Q = energy (J)

-----> m = mass (g)

-----> c = specific heat (J/g°C)

-----> ΔT = change in temperature (°C)

The specific heat of aluminum is 0.89 J/g°C. You can plug the given values into the equation and solve.

Q = mcΔT

Q = (150 g)(0.89 J/g°C)(10 °C)

Q = 1335

*It is up to you whether you wish to trust this answer. My answer may be slightly different due to using a different specific heat.

Liquid ammonia has a vapor pressure of 109 mm Hg at -66C and a heat of vaporization of 2.46 x 10^4 J/mol.

Estimate the normal boiling point of ammonia.

Answers

It is stated in this query that p above p is the rule when using the Clausius-Claparon equation.

How hot does it get when it boils?

According to what I'm going to explain, p not will be our boiling point, and that value will be equal to delta minus. The boiling point is determined by the formula: H, vapor pressure over r 1 over t minus 1 over t not and again t not. Thus, a pressure line can be seen here. According to what we've been told, it is 1 o 9 miles per hour. 680 would enter there, followed by delta h, at a distance of 6080000000 meters from Mercury. The vapourization factor is 2.46. I'm not going to include the units in this section because ideal gas has a constant 8.314 joules per mole.

It is - 66 degrees Celsius when mole kelvin is subtracted from the initial temperature. Since our boiling point would be 2 o 7 kelvin minus 1 over t, that would convert to that value. This will be plugged into my equation using the solver here, which yields 237 kelvin when accounting for t. The boiling point at 680 millimeters of mercury would be minus 273, which gives me a result of minus 36 degrees celsius, and we then translated that to degrees celsius.

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What waves are used to send signals because they can travel over very long distances and pass through buildings

Answers

Answer:

sound waves for used I think

Pls, help I will give brainliest! My homework is due soon!

Pls, help I will give brainliest! My homework is due soon!
Pls, help I will give brainliest! My homework is due soon!

Answers

Answer:

The answer is B

Explanation:

I am smart

on a map directions are sometimes given by a symbol called a ​

Answers

Answer:

a compass rose

If phosphorus (P) has 4 naturally occurring isotopes, phosphorus-29(32.7.%), phosphorus-30(48.03%), phosphorus-31(18.4%), and phosphorus-33 (0.87%), what is its average r.a.m.?

Answers

The Average atomic mass of phosphorus is 29.9.

What is Average atomic mass ?

The average atomic mass (sometimes called atomic weight) of an element is the weighted average mass of the atoms in a naturally occurring sample of the element.

Average masses are generally expressed in unified atomic mass units (u), where 1 u is equal to exactly one-twelfth the mass of a neutral atom of carbon-12.

An element can have differing numbers of neutrons in its nucleus, but it always has the same number of protons.

The versions of an element with different neutrons have different masses and are called isotopes.

The average atomic mass for an element is calculated by summing the masses of the element’s isotopes, each multiplied by its natural abundance on Earth i.e,

Average atomic mass of P = ∑(Isotope mass) (its abundance)

∴ Average atomic mass of P = (P-29 mass) (its abundance) + (P-30 mass)(its abundance) + (P-31 mass) (its abundance) + (P-33 mass) (its abundance)

Abundance of isotope = % of the isotope / 100.

∴ Average atomic mass of P = (29)(0.327) + (30)(0.4803) + (31)(0.184) + (33)(0.0087) = 29.88 a.m.u ≅ 29.9 a.m.u.

Hence , The Average atomic mass of phosphorus is 29.9.

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How much of 80g of sodium- 23 (Na) is left after 4 half-lives if each half-life is 2.6 years?

Answers

Answer:1

Explanation:

1

state the conditions under which copper reacts with sulphuric (vi) acid and give an equation for the reaction​

Answers

Answer:

When the metal reacts with hot, concentrated sulphuric acid, the products of the reaction are copper (II) sulphate, sulphur dioxide and water. Cu + 2H2SO4 = CuSO4 + SO2 + 2H2O. This is a typical redox reaction in which the acid is reduced to SO2, but no hydrogen is produced here

moles of each product that would form as a result of the decomposition of aspirin

Answers

The decomposition of aspirin (acetylsalicylic acid,\(C_{9} H_{8} O_{4}\)) can occur through the hydrolysis reaction, resulting in the formation of acetic acid (\(CH_{3} COOH\)) and salicylic acid (\(C_{7} H_{6}O_{3}\)).

The decomposition of aspirin (acetylsalicylic acid, \(C_{9} H_{8} O_{4}\)) can occur through the hydrolysis reaction, resulting in the formation of acetic acid (\(CH_{3} COOH\)) and salicylic acid (\(C_{7} H_{6}O_{3}\)). To determine the moles of each product formed, we need to consider the balanced chemical equation for the reaction:

\(C_{9} H_{8} O_{4} = > C_{7} H_{6}O_{3} +CH_{3} COOH\)

From the equation, we can see that for every 1 mole of aspirin, 1 mole of salicylic acid and 1 mole of acetic acid are produced.

Therefore, the moles of salicylic acid and acetic acid formed will be equal to the number of moles of aspirin that decomposes. If we know the amount of aspirin in moles, we can directly calculate the moles of each product based on stoichiometry.

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Which of the following best describes a pair of elements that will form an ionic bond?
• C and H: Hydrogen easily loses electrons, and carbon gains them.
• Li and O: Oxygen easily loses electrons, and lithium gains them.
O P and Cl: Phosphorus easily loses electrons, and chlorine gains them.
• Ca and Br: Calcium easily loses electrons, and bromine gains them.

Answers

According to the description of an ionic bond, the last choice is the right response: Ca and Br are the two components that will combine to form an ionic connection. Bromine gets electrons quickly whereas calcium loses them easily.

Between metallic and non-metallic atoms, an ionic bond is created in which all of the electrons from one atom are transferred to the other. One atom loses electrons and another receives them during this process, resulting in the formation of ions.

In general, nonmetals are willing to take electrons to form anions while metal elements are willing to donate them to make cations.

On the other hand, the octet rule describes an attribute of atoms that they require eight electrons to complete their final energy level in order to ensure stability. The noble gases that have served as the foundation for this rule.

In order to adhere to the octet rule and ensure that the elements are stable, electrons are transferred in the ionic connection in this manner.

Ca and Br are the two elements that will combine to form an ionic connection because Ca is a metal and will give electrons while Br is a non-metal and will accept them.

The final option, Ca and Br, is the pair of elements that will form an ionic bond, making it the correct response. Bromine gets electrons quickly whereas calcium loses them easily.

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how are elements in group 8 different from all other elements in the periodic table

Answers

Group 8 elements are also known as the noble gasses. These elements already have a full valence shell with 8 valence electrons. This leaves the elements non-reactive as they are already stable and in a low energy state.

Consider the reaction
2NO(g) + O2(g) = 2NO2(g)
Suppose that at a particular moment during the reaction nitric oxide
(NO) is reacting at the rate of 0.066 M/s. (a) At what rate is NO2
being formed? (b) At what rate is molecular oxygen reacting?

Answers

Answer:

(a) Rate of formation of NO2 is also 0.066M/s

(b) Rate of reaction of O2 gas is 0.033M/s

Explanation:

(a) in one second, according to the equation,

2 moles of NO combines with 2moles of NO2.

Therefore 0.066M NO will still consume 0.066mole NO2.

(b) According to the equation,

2 moles NO consumes 1 mole O2, 0.0666M will consume 0.0333 mole O2

Brainliest will be rewarded!

Brainliest will be rewarded!

Answers

Option B, where [OH-] is 1.0 x 10-13 mol dm-³3, is the only one that can be considered basic. Therefore, Option B is the correct answer.

To determine whether a solution is basic or acidic at 25 °C, we can compare the concentration of hydroxide ions ([OH-]) with the concentration of hydronium ions ([\(H_3O\)+]). In a neutral solution, the concentrations of [\(H_3O\)+] and [OH-] are equal, resulting in a pH of 7.

Option A states that the concentration of [\(H_3O\)+] is 1.0 x 10-3 mol dm-3. Since [\(H_3O\)+] represents the concentration of hydronium ions, this solution would be acidic because the concentration of [\(H_3O\)+] is higher than [OH-], indicating an excess of hydronium ions.

Option B states that the concentration of [OH-] is 1.0 x 10-13 mol dm-³3. In this case, [OH-] is higher than [\(H_3O\)+], indicating an excess of hydroxide ions. Therefore, this solution would be considered basic.

Option C states that the solution has a pH of 4.00. A pH of 4.00 is below the neutral pH of 7, indicating an excess of hydronium ions and an acidic solution. Therefore, this option does not represent a basic solution.

Option D states that the concentration of [\(H_3O\)+] is 1.0 x 10-13 mol dm-3. Similar to Option A, this concentration of [\(H_3O\)+] indicates an acidic solution, not a basic one.

Option B

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Answer:

D is the correct answer

Explanation:

In order for a solution to be basic at 25 C, the H+ concentration has to be less than the OH- concentration, and given that H+ times OH- is 10^-14, we deduce that H+ must be less than 10^-7 for the solution to be acidic. Thus, A can be eliminated, and so can C. With B, we calculate an H+ concentration of 0.1M, which also fails to be less than 10^-7
Thus, D is the correct answer and we can verify that as H+ is less than 10^-7.



Note: I do not know why my previous answer was deleted for "being incorrect", and i'm not sure how the incorrect answer was "expert verified", but I am as certain that D is the correct answer as i am sure of 3*(4+5-1) being equal to 24.

What type of intermolecular force will for between H2O AND CH3OH? Draw and label a picture of this bond. Explain in words how this bond forms.

What type of intermolecular force will for between H2O AND CH3OH? Draw and label a picture of this bond.

Answers

Hydrogen bonding, which is unquestionably what we have, will occur from the intermolecular force between the molecules of H2O and CH3OH. Atoms trade or exchange valence electrons to create bonds.

How come we create bonds?

Trust and self-esteem are developed in children and adolescents through strong emotional ties. After that, they can leave the family and establish wholesome friendships and other types of social ties. Healthy relationships consequently lower a child's chances of emotional discomfort or antisocial behaviour.

What exactly is a bonds, for example?

The government of a country issues government bonds, a sort of fixed-interest bond. These bonds are thought of as low-risk investments. Examples of different kinds of government bonds include T - bills, Municipality Bond, Zero-Coupon Bonds, and others.

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Which of the following is not a reason why chemical bonds are important

Answers

What are the followings?

story , tristan and iseult . Why did Morholt want to fight Cornwall's champion ?​

Answers

Tristan fought with Morholt to accept the demand for tribute from Cornwall.

The Legend Tristan is the nephew of King Mark of Cornwall. Tristan was a great symbol of all the virtues of chivalry, including bravery and honor. Some accounts from the tale also claim that he was an extremely brilliant player.

By that time, the king of Ireland sent a champion named Morholt to demand tribute from Cornwall. By accepting his demand Tristan fought Morholt in single combat. In addition to that, Tristan killed Morholt, leaving a broken piece of his sword in the fatal wound of Morholt.

The piece remained in the body of Morholt when he was carried back to Ireland. It is interesting to note that Morholt wounded Tristan as well, but that wound did not heal, the young knight. To cure it he went to Ireland, in disguise, to seek help from an Irish princess named Isolde who was skilled in healing from there their love tale began.

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Why we use two different methods for detection of cogulase enzyme ? Or what other reason or what basic different between them?

Answers

I’m so sorry I hope you have a wonderful day good luck

Which of the equations are endothermic and which are exothermic?

Write a two to four sentence conclusion statement explaining how the potential energy diagram is used to identify if the reaction is endothermic or exothermic, if heat was released or absorbed, and why the sign of enthalpy change was positive of negative. There should be a conclusion statement for each graph

Which of the equations are endothermic and which are exothermic?Write a two to four sentence conclusion

Answers

Based on the potential energy diagram and the potential energies of reactant and product the synthesis and double replacement reactions are endothermic. The single replacement reaction is exothermic and the ΔH is negative.

What are the differences between endothermic and exothermic reactions ?

Chemical processes referred to as endothermic reactions occur when the reactants take in heat energy from their environment to create products. The reaction absorbs energy from its surroundings. The energy that manifests as heat. Examples include cooking, evaporation, gas molecules, melting of ice, and photosynthesis.

An exothermic reaction is one in which energy is given off as heat or light. The mechanism releases energy into its surroundings. Energy can be emitted as sound, light, heat, or electricity. Examples include rusting iron, settling, chemical bonds, explosions, and nuclear fission.

How the potential energy diagram is used to identify if the reaction is endothermic or exothermic?

A potential energy diagram, also known as a reaction progress curve, is a visual representation of the energy changes that take place during a chemical reaction. A diagram of potential energy illustrates how a system's potential energy changes as reactants are changed into products. Note that an exothermic reaction results in a negative enthalpy change while an endothermic reaction exhibits a positive enthalpy change. The diagrams of potential energy show this. When the system absorbs energy from its environment, its overall potential energy rises for the endothermic reaction. As the system undergoes the exothermic process, the system's overall potential energy declines.

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Starting with 0.3500 mol CO(g) and 0.05500 mol COCl2(g) in a 3.050 L flask at 668 K, how many moles of CI2(g) will be present at equilibrium?
CO(g) + Cl2(g)》COCl2(g)
Kc= 1.2 x 10^3 at 668 K

Answers

At equilibrium, the number of moles of \(Cl_2\) (g) will be 0.2025 mol.

1: Write the balanced chemical equation:

\(C_O\)(g) + \(Cl_2\)(g) ⟶ \(C_OCl_2\)(g)

2: Set up an ICE table to track the changes in moles of the substances involved in the reaction.

Initial:

\(C_O\)(g) = 0.3500 mol

\(Cl_2\)(g) = 0.05500 mol

\(C_OCl_2\)(g) = 0 mol

Change:

\(C_O\)(g) = -x

\(Cl_2\)(g) = -x

\(C_OCl_2\)(g) = +x

Equilibrium:

\(C_O\)(g) = 0.3500 - x mol

\(Cl_2\)(g) = 0.05500 - x mol

\(C_OCl_2\)(g) = x mol

3: Write the expression for the equilibrium constant (Kc) using the concentrations of the species involved:

Kc = [\(C_OCl_2\)(g)] / [\(C_O\)(g)] * [\(Cl_2\)(g)]

4: Substitute the given equilibrium constant (Kc) value into the expression:

1.2 x \(10^3\) = x / (0.3500 - x) * (0.05500 - x)

5: Solve the equation for x. Rearrange the equation to obtain a quadratic equation:

1.2 x \(10^3\) * (0.3500 - x) * (0.05500 - x) = x

6: Simplify and solve the quadratic equation. This can be done by multiplying out the terms, rearranging the equation to standard quadratic form, and then using the quadratic formula.

7: After solving the quadratic equation, you will find two possible values for x. However, since the number of moles cannot be negative, we discard the negative solution.

8: The positive value of x represents the number of moles of \(Cl_2\)(g) at equilibrium. Substitute the value of x into the expression for \(Cl_2\)(g):

\(Cl_2\)(g) = 0.05500 - x

9: Calculate the value of \(Cl_2\)(g) at equilibrium:

\(Cl_2\)(g) = 0.05500 - x

\(Cl_2\)(g) = 0.05500 - (positive value of x)

10: Calculate the final value of \(Cl_2\) (g) at equilibrium to get the answer.

Therefore, at equilibrium, the number of moles of \(Cl_2\) (g) will be 0.2025 mol.

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3. The doctor notices that Janet has long fingernails, and comments that fingernails grow at a rate (or
speed) of 2.50 cm / year. Convert this speed to kilometers / second. Show your work. (6 pts)

Answers

Answer:

7.93 × 10⁻¹³ km/s

Explanation:

Step 1: Given data

Rate of growth of the fingernails (r): 2.50 cm/year

Step 2: Convert "r" from cm/year to km/year

We will use the following conversion factors.

1 m = 100 cm1 km = 1000 m

\(\frac{2.50cm}{year} \times \frac{1m}{100cm} \times \frac{1km}{1000m} = 2.50 \times 10^{-5} km/year\)

Step 3: Convert "r" from km/year to km/s

We will use the following conversion factors.

1 year = 365 day1 day = 24 h1 h = 60 min1 min = 60 s

\(\frac{2.50 \times 10^{-5} km}{year} \times \frac{1year}{365day} \times \frac{1day}{24h} \times \frac{1h}{60min} \times \frac{1min}{60s} = 7.93 \times 10^{-13} km/s\)

2.50 cm/year is equal to 7.93 × 10⁻¹³ kilometers/second.

Which of the following items are made from renewable resources? Select the two correct answers. (1 point)
Responses

plastic fork
plastic fork

metal can
metal can

leather jacket
leather jacket

electronics
electronics

printer paper

Answers

A leather jacket and printer paper are examples of items that can be made from renewable resources, while plastic forks, metal cans, and electronics are not considered renewable due to their reliance on non-renewable materials and processes. Option  C, E

The two correct answers that are made from renewable resources are:

C) Leather jacket: Leather is derived from animal hides, which are a byproduct of the meat industry. As long as there is a sustainable and responsible approach to animal farming, the production of leather can be considered renewable. The hides are obtained from animals that are raised for meat consumption, and their use in leather production helps reduce waste.

E) Printer paper: Printer paper can be made from various sources, including trees, bamboo, and recycled paper fibers. If the paper is sourced from sustainably managed forests or from fast-growing plants like bamboo, it can be considered renewable. Additionally, the use of recycled paper fibers reduces the demand for materials and promotes a more circular economy.

The other options, A) plastic fork, B) metal can, and D) electronics, are not made from renewable resources:

A) Plastic fork: Plastics are typically derived from fossil fuels, which are non-renewable resources. The production of plastic involves the extraction and processing of petroleum or natural gas, both of which are finite resources.

B) Metal can: Metal cans are predominantly made from aluminum or steel. While these metals can be recycled, their initial production requires the extraction of raw materials from the Earth, which is not a renewable process.

D) Electronics: Electronics are made from a wide range of materials, including metals, plastics, and various chemical compounds. The production of electronics involves the extraction of raw materials, many of which are non-renewable resources.

Option C and E.

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How many yards are in a 100 meter race ? How many feet?

Answers

Taking into account the change of units, 100 meters are 109.361 yards and 328.084 feets.

Rule of three

The rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

That is, what is intended with it is to find the fourth term of a proportion knowing the other three.  

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.

To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: \(x=\frac{cxb}{a}\)

The direct rule of three is the rule applied in this case where there is a change of units.

Distance in yards and feet

To perform in this case the conversion of units, you must first know that:

1 m= 1.09361 yards1 m= 3.28084 feets

Then, you can apply the following rules of three:

if 1.09361 yards is 1 meter, how many yards equals 100 meters?

1 meter ⇒ 1.09361 yards

100 meters ⇒ x

So: \(x=\frac{100 metersx1.09361 yards}{1 meter}\)

Solving:

x= 109.361 yards

if 3.28084 feets is 1 meter, how many yards equals 100 meters?

1 meter ⇒ 3.28084 feets

100 meters ⇒ x

So: \(x=\frac{100 metersx3.28084 feets}{1 meter}\)

Solving:

x= 328.084 feets

In summary, 100 meters are 109.361 yards and 328.084 feets.

Learn more about rule of three and change of units with this example:

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