1. The mass of the water sample is approximately 8.77 grams.
2. Approximately 11,322 Joules of heat are required to warm a 135g cup of water from 15°C to 35°C.
We're given the values:
Q = -870 J (lost heat, so negative value)
ΔT = -24.8°C (temperature dropped)
c = 4.18 J/(g°C) (specific heat capacity of water)
Rearrange the formula to solve for mass:
m = Q / (cΔT)
Plug in the values:
m = -870 / (4.18 × -24.8)
m ≈ 8.77 g
The mass of the water sample is 8.77 grams.
We're given the values:
m = 135 g
ΔT = 35°C - 15°C = 20°C
c = 4.18 J/(g°C) (specific heat capacity of water)
Now, use the formula Q = mcΔT to find the heat required:
Q = 135 × 4.18 × 20
Q ≈ 11322 J
Approximately 11,322 Joules of heat are required to warm a 135g cup of water from 15°C to 35°C.
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Name some of the important rocks found in Nepal
Answer:
shale
sandstone
limestone
Explanation:
These fossiliferous rocks are extensively developed in Nepal, particularly in Thak Khola (Mustang), Manang, and Dolpa. This zone is around 40 kilometers broad and is made mostly of fossiliferous sedimentary rocks.
A 25.0 mL sample of an HCl solution is titrated with a NaOH solution. The equivalence point is reached with of base. The concentration of HCl is ________ M.
A 25.0 mL sample of an HCl solution is titrated with a NaOH solution. The equivalence point is reached with of base. The concentration of HCl is 0.100M.
To find the concentration of HCl, we need to use the equation: M1V1 = M2V2, where M1 is the concentration of HCl, V1 is the volume of HCl used, M2 is the concentration of NaOH, and V2 is the volume of NaOH used at the equivalence point.
We know that the volume of NaOH used at the equivalence point is 25.0 mL, which is also the volume of HCl used. We also know that the concentration of NaOH is typically given in the problem.
Let's assume the concentration of NaOH is 0.100 M. Therefore, using the equation above:
M1V1 = M2V2
M1(25.0 mL) = (0.100 M)(25.0 mL)
M1 = (0.100 M)(25.0 mL) / (25.0 mL)
M1 = 0.100 M
So, the concentration of HCl is 0.100 M.
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Which of the following elements are main-group elements?
1- Te
2- K
3- V
4- Re
5- Ag
The main-group elements among the given options are:
- Te (Tellurium)
- K (Potassium)
Main-group elements, also known as representative elements, are located in the s-block and p-block of the periodic table. They include elements in Groups 1 and 2 (alkali metals and alkaline earth metals) as well as Groups 13 to 18. Te (Tellurium) is in Group 16, and K (Potassium) is in Group 1, making them main-group elements.
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Jennifer has a jar full of stones. For one year, Jennifer shakes the jar several times each day. The illustration below shows the changes that occurred after one year. What process does this illustration show?
Jennifer has a jar full of stones. For one year, Jennifer shakes the jar several times each day. The illustration below shows the changes that occurred after one year, and this shows that because of the fragmentation, this happens.
Initially, before a year, there were many rocks, but as she continuously shrank the box, that led to the fragmentation. Due to vibration for a long time, the larger rocks break into the smaller particles as a result of the amount of rocks converted into the small particles and sands. These smaller stone fragments may then accumulate at the bottom of the jar as a result of this there is a decrease in the overall number of stones in the jar.
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Consider a group of 5 students, each of whom makes a potassium chloride (74.55 mol/g) solution in the lab. Individually, each student weighs out an amount of sodium chloride and a volume of water, according to the following table. Use this information to calculate the solution concentration (in moles/liter) each student makes, the average concentration, and the standard deviation for the concentration.
fill out the chart pls
Normal Concentration = 18.09 moles/L Standard Deviation = 1.89 moles/L
What is Concentration?The capacity for sustained attention on a single thing, activity, or work without being sidetracked is known as concentration. It is the key to success in most endeavors, as it requires a person to ignore any extraneous thoughts, feelings, or stimuli and instead focus on the task at hand. Concentration is a mental skill that can be developed and improved with practice, such as with mindfulness, meditation, and various cognitive exercises. Concentration can also be adversely affected by poor physical health, lack of sleep, and stress, so it is important to maintain a healthy lifestyle if one wants to stay focused.
Student | Weight (g) | Volume (L) | Concentration (moles/L)
1 | 5.0 | 0.25 | 19.82
2 | 8.0 | 0.50 | 15.89
3 | 4.0 | 0.20 | 20.23
4 | 7.0 | 0.30 | 18.52
5 | 6.0 | 0.40 | 16.96
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Brownian motion is caused by A) thermal agitation. B) perpetual motion. C) particles larger than atoms bumping into them. D) interactions between atoms and molecules E) almost invisible bugs
Brownian motion is caused by thermal agitation. Brownian motion is the random movement of small particles suspended in a fluid. This movement is caused by the collision of the particles with the molecules of the fluid, which are constantly in motion due to thermal energy. The collisions result in a back-and-forth movement of the particles, which leads to the characteristic "jiggling" motion associated with Brownian motion.
In other words, Brownian motion occurs because of the kinetic energy of the fluid molecules, which leads to random collisions with the suspended particles. This is why Brownian motion is observed in a variety of systems, from the movement of pollen grains in water to the diffusion of molecules in a gas. It is a fundamental concept in the study of physical systems and plays a role in many different fields of science, including chemistry, physics, and biology.
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Suppose that you move from a town near the ocean to a town in the mountains. To what atmospheric changes would your body need to adjust?
Answer:
most likely temperature
Explanation:
mountains usually have lower temp than coast because the coast is more of a tropical area
Pls describe the water system in the southwest USA and current complications. describe two or three ways that everyone can conserve water.
Answer:
It has become evident in recent years that established water policies, under the current laws and management regimes that have allowed a flourishing agriculture and economy in the Southwest, are not appropriate to the challenges facing water demand in the 21st century. Yet only limited institutional and policy steps have been taken to develop new tools and approaches addressing these challenges. The circumstances listed below illustrate some of the more important unsustainable aspects of water use in the Southwest.
What is the boiling point of 100% ethanol?
The boiling point of 100% ethanol, or pure ethanol, is approximately 78.5 degrees Celsius (173.3 degrees Fahrenheit) at standard atmospheric pressure (1 atmosphere or 760 mmHg). This is significantly lower than the boiling point of water, which is 100 degrees Celsius (212 degrees Fahrenheit) at the same pressure.
The lower boiling point of ethanol is due to the weaker intermolecular forces between ethanol molecules compared to water molecules. Ethanol has weaker hydrogen bonding than water, which means that it requires less energy to break the bonds between ethanol molecules and transition it from a liquid to a gas. This is why ethanol evaporates more quickly than water and is often used as a solvent or in products that require quick drying. However, it's important to note that the boiling point of ethanol can vary depending on factors such as the purity of the ethanol, the pressure it is under, and the presence of impurities or dissolved substances. For example, the boiling point of a mixture of ethanol and water will be lower than the boiling point of pure ethanol, and can be influenced by the percentage of each substance in the mixture.
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14. A force acts for 0.2 second on a body of mass 80 kg at rest and produces a velocity of 10 ms¹.Find the magnitude of the force.
The magnitude of the force acting on the body is 4000 Newtons.
To find the magnitude of the force, we can use Newton's second law of motion, which states that the force applied to an object is equal to the product of its mass and acceleration.
The given information includes the mass of the body (80 kg) and the resulting velocity (10 m/s). However, since the time duration (0.2 seconds) is also provided, we can use it to calculate the acceleration of the body.
The formula to calculate acceleration is:
Acceleration = Change in Velocity / Time
The change in velocity can be calculated by subtracting the initial velocity (which is 0 m/s as the body is at rest) from the final velocity:
Change in Velocity = Final Velocity - Initial Velocity
Change in Velocity = 10 m/s - 0 m/s
Change in Velocity = 10 m/s
Now, we can calculate the acceleration:
Acceleration = Change in Velocity / Time
Acceleration = 10 m/s / 0.2 s
Acceleration = 50 m/s²
Finally, we can calculate the magnitude of the force using Newton's second law:
Force = Mass x Acceleration
Force = 80 kg x 50 m/s²
Force = 4000 N
Therefore, the magnitude of the force acting on the body is 4000 Newtons.
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Temperature (average kinetic energy) affects the density of a substance.
True
False
Answer:
True
Explanation:
Higher temperature will have greater volumes so the density will be less.
What is the mass of a sample of iron that has had 300.0 j applied to it and heats up from 20.0 degrees Celsius to 40.0 degrees Celsius.. the specific heat of iron is 0.46j/gC
Answer:
The mass of a sample of iron that has had 300 J applied to it and heats up from 20 degrees Celsius to 40 degrees Celsius is 32.61 grams.
Explanation:
Calorimetry is the measurement and calculation of the measurement of heat changes exchanged by a body or a system produced in physical and chemical processes.
The sensible heat of a body is the amount of heat received or transferred by a body to produce a change in temperature but without a change in physical state.
The sensible heat in a constant pressure is calculated by:
Q = c * m * ΔT
where Q is the heat exchanged by a body of mass m, constituted by a substance of specific heat c, and where ΔT is the temperature variation (ΔT=Tfinal - Tinitial)
In this case:
Q= 300 Jc= 0.46 \(\frac{J}{g*C}\)m= ?Tfinal= 40 CTinitial= 20 CReplacing:
300 J= 0.46 \(\frac{J}{g*C}\) * m* (40 - 20) C
Solving:
300 J= 0.46 \(\frac{J}{g*C}\) * m* 20 C
\(m=\frac{300 J}{0.46 \frac{J}{g*C} * 20 C}\)
m= 32.61 g
How many oxygen atoms are in 2.50 L of oxygen?
Answer:
There are 8.30x104-24 atoms of oxygen in 2.50 mol of oxygen gas. There are 7.53x10*23 atoms of oxygen in 2.50 mol of oxygen gas.
what mass (in grams) of NH4Cl is needed to prepare 350 mL of a 0.25 M ammonium chloride solution
Answer:
4.70 grams of NH4Cl is needed to prepare 350 mL of a 0.25 M ammonium chloride solution.
We need approximately 4.68 grams of NH4Cl to prepare a 0.25 M ammonium chloride solution with a volume of 350 mL.
To determine the mass of NH4Cl needed to prepare the solution, we us use the formula:
m=M x V x MM ... (i)
where,
m= mass in grams
M=molarity of solution
MM= molar mass of compound
V= volume in litres
The number of moles of NH4Cl needed can be calculated using:
Moles = Molarity x Volume ...(ii)
Moles = 0.25 mol/L x 0.350 L
Moles = 0.0875 mol
Hence we can replace M x V with number of moles in equation i.
The molar mass of NH4Cl is :
Molar mass of NH4Cl = (1 x 14.01 g/mol) + (4 x 1.01 g/mol) + (1 x 35.45 g/mol)
Molar mass of NH4Cl = 53.49 g/mol
We have all the variables
Putting them in equation i.
Hence,
Mass (g) = Moles x Molar mass
Mass (g) = 0.0875 mol x 53.49 g/mol
Mass (g) = 4.68 g
Therefore, you would need approximately 4.68 grams of NH4Cl to prepare a 0.25 M ammonium chloride solution with a volume of 350 mL.
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6. With a limited number of elements (less than 120 are known), does this mean we also have a small number of compounds? Or do we have many compounds in this world?
While the number of known elements may be limited, the number of compounds that can be formed from these elements is vast and virtually limitless due to the variety of possible combinations, isomerism, and the ability to create synthetic compounds.
While the number of known elements is indeed limited (less than 120), the potential number of compounds that can be formed from these elements is virtually infinite. Elements can combine in various ratios and arrangements to form compounds with distinct properties and characteristics. Moreover, even small changes in the structure or arrangement of atoms within a compound can result in different compounds with different properties.
Additionally, the concept of isomers further expands the number of possible compounds. Isomers are compounds with the same molecular formula but different structural arrangements. This means that even with a limited set of elements, the number of unique compounds can be significantly increased by the presence of isomerism.
Furthermore, advancements in synthetic chemistry have allowed scientists to create new compounds that do not occur naturally. These synthetic compounds can further expand the range of available compounds beyond those found in nature.
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How would you characterize a liquid?
a. Has a fixed volume
b. Has a fixed shape
C. Takes the shape of a container
D. Both a and c
Answer:
The correct answer is D!
Explanation:
Liquids have a fixed shape and fixed volume. Liquids take the shape of their containers. Hope you have a great dayy!
The filament is the main structure, which is made up of the stamen with the anther on top.
Which statement best describes Eunice’s sentence?
What is the frequency of radiation with a wavelength of 5.00 x 10^-8 m?
In what region of the electromagnetic spectrum is this radiation?
Explanation:
, Calculate Frequency
Example #11: What is the frequency of radiation with a wavelength of 5.00 x 10¯8 m? In what region of the electromagnetic spectrum is this radiation?
Solution:
1) Use λν = c to determine the frequency:
(5.00 x 10¯8 m) (x) = 3.00 x 108 m/s
x = 6.00 x 1015 s¯1
2) Determine the electromagnetic spectrum region:
Consult a convenient reference source.
This frequency is right in the middle of the ultraviolet region of the spectrum.
Problem #12: What is the wavelength of sound waves having a frequency of 256.0 sec¯1 at 20 °C? Speed of sound = 340.0 m/s. (The problem is about sound, but this does not change the basic idea of the equation "wavelength times frequency = speed."
Solution:
a) Use λν = speed:
(x) (256.0 s¯1) = 340.0 m/s
The answer, to four sig figs, is 1.328 m.
Just for kicks: in centimeters, 132.8 cm, and in Ångströms, 1.328 x 1010 Å
Probs 13, 14, 15 here soon
Given Frequency, Calculate Wavelength
Problem #16: Calculate the wavelength of radiation emitted from radioactive cobalt with a frequency of 2.80 x 1020 s¯1. What region of the eletromagnetic spectrum does this lie in?
Solution:
1) Calculate the wavelength:
λν = c
(x) (2.80 x 1020 s¯1) = 3.00 x 108 m/s
x = 1.07 x 10¯12 m
2) Determine the region of the EM spectrum:
Consult a convenient reference source.
Gamma rays.
Problem #17: 1.50 x 1013 Hz? Does this radiation have a longer or shorter wavelength than red light?
Comment: there are a number of ways to answer this question. I'll do two.
Solution #1:
Calculate the frequency of 7000 Å (the longest wavelength of red light):
7000 Å = 7000 x 10¯8 cm = 7.00 x 10¯5 cm (three sig figs is a reasonable assumption)
λν = c
(7.00 x 10¯5 cm) (x) = 3.00 x 1010 cm/s
x = 4.28 x 10¯14 s¯1
A lower frequency (like the value given in the problem) means a longer wavelength. The radiation in the problem has a longer wavelength than the red light I used.
Beyond red on the EM spectrum is infrared.
Solution #2:
Consult a convenient reference source.
Compare 1.50 x 1013 Hz to the various values in the frequency column of the above web site.
Determine that the frequency given in the problem lies in the infrared, a region that has a longer wavelength than red light does.
Problem #18: What color is light whose frequency is 7.39 x 1014 Hertz?
Solution:
The usual manner to solve this problem is to determine the wavelength, then compare the wavelength to a color chart of the electromagnetic spectrum. Here is an example of a color chart. You can find many more on the Internet.
1) Determine wavelength:
λν = c
(x) (7.39 x 1014 s¯1) = 3.00 x 108 m/s
x = 4.065 x 10¯7 m
2) EM color charts usually express the wavelength in nm:
4.065 x 10¯7 m times (109 nm / 1 m)= 406.5 nm
3) When you examine a color chart, you see that the given wavelength is in the violet region.
An alternate method would be to find a color chart which associates frequency values with the colors of the visible spectrum. This type of chart is not as common as a wavelength-based chart, but they can be found. Here is an example.
Using that chart will require that you convert Hz to THz (terahertz).
7.39 x 1014 Hz times ( 1 THz / 1012 Hz) = 739 THz
Problem #19: Calculate the frequency of radiation with a wavelength of 4.92 cm.
Comment: since the wavelength is already in cm, we can use c = 3.00 x 1010 cm s¯1 and not have to do any conversions at all.
Solution:
(4.92 cm) (x) = 3.00 x 1010 cm s¯1
x = 6.10 x 109 s¯1
Problem #20: Calculate the frequency of radiation with a wavelength of 8973 Å.
Comment: since 1 Å = 10¯8 cm, therefore 8973 Å = 8973 x 10¯8 cm. Converting to scientific notation gives 8.973 x 10¯5 cm. This is another place where the cm s¯1 value for c can be used, since Å converts to cm very easily.
Solution:
(8.973 x 10¯5 cm) (x) = 3.00 x 1010 cm s¯1
x = 3.34 x 1014 s¯1
The frequency of the radiation is 6.0 × 10¹⁵ s⁻¹
The radiation is in the Ultra-violet region of the electromagnetic spectrum
From the question,
We are to determine the frequency of radiation with a wavelength of 5.00 × 10⁻⁸ m
From the formula
\(c = \nu \lambda\)
We can write that
\(\nu = \frac{c}{\lambda}\)
Where \(\nu\) is the frequency
\(c\) is the speed of light (\(c = 3.0 \times 10^{8} \ m/s\))
and \(\lambda\) is wavelength
From the given information
\(\lambda = 5.00 \times 10^{-8} \ m\)
∴ \(\nu = \frac{3.0 \times 10^{8} }{5.00 \times 10^{-8} }\)
\(\nu = 6.0 \times 10^{15} \ s^{-1}\)
Hence, the frequency of the radiation is 6.0 × 10¹⁵ s⁻¹
The radiation is in the Ultra-violet region of the electromagnetic spectrum
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Can someone please help !! I just need someone to help me figure out how to solve it and solve the picture as an example
The molar concentration of Al(OH)₃ in the solution is 1.61 M.
we need to calculate the number of moles of Al(OH)3 in the solution:
Number of moles of Al(OH)₃ = mass of Al(OH)3 / molar mass of Al(OH)3
Molar mass of Al(OH)₃ = (1 x atomic mass of Al) + (3 x atomic mass of O) + (3 x atomic mass of H)
Molar mass of Al(OH)₃ = (1 x 26.98 g/mol) + (3 x 16.00 g/mol) + (3 x 1.01 g/mol) = 78.00 g/mol
Number of moles of Al(OH)₃ = 62.7 g / 78.00 g/mol = 0.804 moles
Next, we need to calculate the volume of the solution in liters:
Volume of solution = 500.0 mL = 500.0 mL x (1 L/1000 mL) = 0.500 L
Finally, we can calculate the molar concentration of Al(OH)₃
Molarity = moles of solute/volume of solution in liters
Molarity = 0.804 moles / 0.500 L = 1.61 M
Therefore, the molar concentration of Al(OH)₃ in the solution is 1.61 M.
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do eukaryotic Cells have DNA found in the nucleus. True or false
how many moles of manganese are in 1 mole of manganese(iv) permanganate
Answer:
4 moles...................
I’m second guessing myself here...
Consider the following reaction in a gas phase:C(s) + H2O(g) ⇄ CO(g) + H2(g) KC = 0. 2 at 1000 °CCalculate the concentration of CO in an equilibrium mixture (in mol/L) if a reaction mixture initially contains only reactants, and the equilibrium concentration of H2O(g) is [H2O] = 0. 500 M at 1000 °C
The concentration of CO (g) in the equilibrium mixture is 0.020 M. In other words, only a small amount of CO (g) is produced in this reaction at 1000°C. T 0.020 M.
The concentration of CO in an equilibrium mixture (in mol/L) is 5.8 M.
Given that the concentration of H2O (g) is [H2O] = 0.500 M at 1000°C, and the reaction is:
C(s) + H2O(g) ⇄ CO(g) + H2(g) KC = 0.2 at 1000°C
We need to determine the concentration of CO in an equilibrium mixture (in mol/L)
if a reaction mixture initially contains only reactants.
We can solve this problem using the ICE table method as follows:
Let x be the change in concentration of H2O (g) and CO (g) when they reach equilibrium.
Then the equilibrium concentrations of CO (g) and H2 (g) are equal to x. Hence, the equilibrium concentration of H2O (g) is (0.500 - x) M. Substitute these values in the expression for Kc and solve for x.
Kc = [CO (g)] [H2 (g)] / [H2O (g)] [C (s)]
= 0.2[CO (g)] = Kc [H2O (g)] [C (s)] / [H2 (g)]
= 0.2 × (0.500 - x) / x
We can simplify this expression by cross-multiplication to get:
5x = 0.1 - 0.2xx = 0.02 M
Substituting x = 0.02 M in the expression for [CO (g)], we get:
[CO (g)] = 0.2 × (0.500 - 0.02) / 0.02 = 5.8 M (approx.)
Therefore, the concentration of CO (g) in an equilibrium mixture (in mol/L) is 5.8 M. The problem requires us to find the equilibrium concentration of CO (g) in a mixture that initially contains only reactants.
To solve this problem, we need to use the expression for the equilibrium constant Kc, which is given by:
Kc = [CO (g)] [H2 (g)] / [H2O (g)] [C (s)]
We can also use the ICE table method to solve this problem. In this method, we start with the initial concentration of the reactants and calculate the change in concentration of each species as they reach equilibrium.
We then use the equilibrium concentrations to calculate the value of Kc and solve for the unknowns. Here is how we can set up the ICE table for this problem: Reaction:
C(s) + H2O(g) ⇄ CO(g) + H2(g)
Initial: [C] = [H2]
= 0 M,
[H2O] = 0.500 M
Equilibrium: [C] = [H2] = x,
[H2O] = 0.500 - x,
[CO] = [H2] = x
Change: +x +x -x -x
Substituting the equilibrium concentrations into the expression for Kc, we get:
Kc = [CO] [H2] / [H2O] [C]
= x² / (0.500 - x)
= 0.2
Solving for x, we get: x = 0.020 M
Substituting this value of x into the expression for [CO], we get:
[CO] = x = 0.020 M
Therefore, the concentration of CO (g) in the equilibrium mixture is 0.020 M.
In other words, only a small amount of CO (g) is produced in this reaction at 1000°C. T 0.020 M.
The concentration of CO in an equilibrium mixture (in mol/L) is 5.8 M.
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what do you mean by 1 joule work
Answer:
Joule is the SI unit of work. 1 Joule is amount of work done when a force of 1 Newton displaces a body through a distance of 1m in the direction of the force applied.
how is the pollination of plants dependent on pollinators
The Process of Animal Pollination. Pollinators come to flowers in search of food (nectar and pollen). During a flower visit, a pollinator may unintentionally brush up against the flower's reproductive parts, depositing pollen from another flower. The pollen is then used by the plant to produce a fruit or seed.
Which of the following foods has the lowest water content ?
lettuce
whole grain bread
tomato
sirloin steak
Expert Answer
Sirloin steak typically has the lowest water content and the correct option is option 4.
Meat, being a protein-rich food, generally contains a lower percentage of water compared to fruits, vegetables, and bread. While lettuce and tomatoes are primarily composed of water, with high water content contributing to their crispness and juiciness, whole grain bread also retains a significant amount of moisture.
On the other hand, sirloin steak consists mostly of muscle tissue, which contains less water. However, it is important to note that the exact water content can vary depending on factors such as the specific cut of meat, cooking method, and degree of doneness.
Thus, the ideal selection is option 4.
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Which of the following would tell you that a weak base is present?
A. An indicator added to the solution turns green-blue.
B. If there is a high reaction rate.
C. If the pH of the solution is close to 14.
D. If the solution is a good conductor of electricity.
Answer:
A. An indicator added to the solution turns green-blue.
Explanation:
A pH scale measures the concentration of hydrogen ions in acidic and alkaline solutions.
In chemistry, pH literally means the power of hydrogen ions and it is a measure of the molar concentration of hydrogen ions in a particular solution; thus, specifying the acidity, neutrality or basicity of any chemical solution.
Mathematically, the pH of a solution is given by the formula;
\( pH = -log_{10}(H^{+}) \)
On a pH scale, a solution with a pH of 7 is neutral, a solution with a pH below 7 is acidic and it's basic (alkaline) when it's pH is above 7.
A pH indicator can be defined as a compound (substance) that indicates the concentration of hydrogen ions present in a solution by changing its color over a narrow range of pH values.
A pH range of 1 to 3 (1 - 3) represents a strong acid with a red color.
When an indicator added to a solution turns green-blue, it simply means that a weak base is present.
how much energy is needed to convert 120g of ice at -35°C to steam at 150°C?
HELP I WILL mark brainliest
Answer:
1 Hour...
Explanation:
If It’s 960 Km/h, then it will take 1 hour to fly there.
Dear brother, please solve the q
3 - A mixture of 2kmol of CO and 3kmol of O
2
is heated to 2600 K at a pressure of 304 kPa. Given that Kp=16.461, determine the equilibrium composition of CO
2
is :
The equilibrium composition of CO₂ is determined to be 0.59 kmol.
To solve this problem, we can use the ideal gas law and the equilibrium constant expression for the reaction:
CO + 1/2O₂ ⇌ CO₂
Given the initial number of moles of CO and O₂, we can set up an ICE (Initial, Change, Equilibrium) table. Let's assume that x kmol of CO is consumed and converted to CO₂. Then, the change in the number of moles for each species is:
CO: -x kmol
O₂: -0.5x kmol
CO₂: +x kmol
At equilibrium, the number of moles of CO is (2 - x) kmol, O₂ is (3 - 0.5x) kmol, and CO₂ is x kmol. The equilibrium constant expression can be written as:
Kp = (P_CO₂) / (P_CO * P_O₂(1/2))
Given Kp = 16.461 and the pressure conditions, we can substitute the equilibrium partial pressures into the expression:
16.461 = x / ((2 - x) * (3 - 0.5x)(1/2))
Solving this equation yields x ≈ 0.59 kmol.
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