The temperature of a sample of gas is changed, causing the volume to go from 3500 cm' to 4700 cm3. If the new temperature is 717K, what was its original temperature in Kelvin?

Answers

Answer 1
Answer: 534 kelvin
Here you use Charles law which states that volume is directly proportional to temperature you don’t need to change cm3 to dm3 because both of the volumes have the same unit
V(old)/t(old)=V(new)/t(new)
4700/717=3500/t solve by cross multiply or calculator
The Temperature Of A Sample Of Gas Is Changed, Causing The Volume To Go From 3500 Cm' To 4700 Cm3. If

Related Questions

a solution of 1.80 g of a nonelectrolyte in 500.0 ml of water at 27.0°c has an osmotic pressure of 39.5 mmhg. what is the molar mass of the compound?

Answers

Answer:

The osmotic pressure can be calculated using the Van't Hoff equation:Π = MRTwhere M is the molar concentration of the solute, R is the gas constant (0.0821 L atm K^-1 mol^-1), T is the temperature in Kelvin (273.15 K + 27.0°C = 300.15 K), and Π is the osmotic pressure in atmospheres.

Converting mmHg to atmospheres:

39.5 mmHg * 1 atm/760 mmHg = 0.052 atm

Rearranging the equation and solving for M:

M = Π / (RT) = 0.052 atm / (0.0821 L atm K^-1 mol^-1 * 300.15 K)

Next, we can use the molar mass to find the moles of solute:

moles = mass / molar mass = 1.80 g / molar mass

Finally, we can set the moles equal to the molar concentration and solve for molar mass:

M = moles / volume = moles / 0.500 L

moles = M * volume = 0.052 atm / (0.0821 L atm K^-1 mol^-1 * 300.15 K) * 0.500 Lmolar mass = mass / moles = 1.80 g / (moles)

Solving for molar mass gives a value of approximately 86 g/mol.

The molar mass of the non-electrolyte is 169.9 g/mol.

Osmotic pressure is a colligative property of a solution, which means it depends on the number of solute particles in the solution, not on their chemical nature. For a dilute solution of a non-electrolyte, the osmotic pressure is given by the following equation:

π = MRT

where π is the osmotic pressure, M is the molar concentration of the solute, R is the gas constant, and T is the temperature in Kelvin.

In this problem, we are given the mass of the non-electrolyte (1.80 g), the volume of the solution (500.0 mL), and the temperature (27.0 °C), and we are asked to find the molar mass of the compound.

First, we need to calculate the molar concentration of the solution:

M = n/V

where n is the number of moles of the solute and V is the volume of the solution. We can find n by dividing the mass of the solute by its molar mass:

n = m/M

where m is the mass of the solute (1.80 g). Substituting these values into the equation for molar concentration, we get:

M = (1.80 g / M) / (0.5000 L)

Solving for M, we get:

M = 0.07198 g/L

Next, we need to convert the temperature from Celsius to Kelvin:

T = 27.0 °C + 273.15 = 300.15 K

Finally, we can use the equation for osmotic pressure to solve for the molar mass (M) of the non-electrolyte:

π = MRT

M = π / RT = (39.5 mmHg) / (0.08206 L atm/mol K * 300.15 K)

M = 169.9 g/mol

Therefore, the molar mass of the non-electrolyte is 169.9 g/mol.

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Which explanation correctly describes why it is important for a cell’s surface-area-to-volume ratio to not be too small?

A. The area of the cell membrane needs to be large in comparison to the volume so the cell is able to move nutrients and wastes through it.

B. The cell would starve.

C. The cell would not produce enough waste material.

D. The organelles would grow too large to fit within the cell.

Answers

Your answer is D bro

2. Which of the following best describes temperature? *

O Number of molecules
Motion of molecules
O Size of molecules
O Type of molecules

Answers

Answer:

motion of molecules because we gonna see which one is in a solid state and what's so ever

What is the concentration (M) of sodium ions in 4.57 L of a
0.268 mol L-1 Na3P solution?

Answers

The concentration (M) of sodium ions in a 0.268 mol/L Na3P solution can be calculated by considering the stoichiometry of the compound. The concentration of sodium ions in the 4.57 L Na3P solution is 0.268 M

In this case, the concentration of Na3P is 0.268 mol/L, and the volume of the solution is given as 4.57 L. Multiplying these values together gives us the number of moles of Na3P in the solution, which is 1.225 mol. Since there are three sodium ions per molecule of Na3P, the number of moles of sodium ions is also 1.225 mol.

To find the concentration of sodium ions, we divide the number of moles of sodium ions by the volume of the solution. Therefore, the concentration of sodium ions in the 4.57 L solution is 1.225 mol / 4.57 L = 0.268 M.

In summary, the concentration of sodium ions in the 4.57 L Na3P solution is 0.268 M, obtained by considering the stoichiometry of Na3P and dividing the number of moles of sodium ions by the volume of the solution.

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4. What happens to the humidity if the temperature drops and the amount of moisture in the air remains the same?

Answers

Answer:

Explanation: If the water vapor content stays the same and the temperature drops, the relative humidity increases. If the water vapor content stays the same and the temperature rises, the relative humidity decreases. This is because colder air doesn't require as much moisture to become saturated as warmer air.

an element e has the electron configuration [kr] 5s24d105p3. the formula for the hydride of e is most likely

Answers

The formula oh Hydride of of antimony is H3Sb.

Hydrides is the hydrogen anion with the the formula H-.It is the binary compound of the hydrogen with other elements .In this Hydrogen is covalently bonded. this is bonded to a less electronegative element. This only exists in extrema  condition. This consist of two electrons and a proton. Electronic configuration of hydride is 1S2.

[Kr]5s24d105p3 is antimony.

The formula of hydride in antimony is SbH3.This is a colorless gas and it is highly toxic. This is the main covalent hydride of antimony. This is also known as antimony hydride or hydrogen antimonite. This is the binary compound of Hydrogen with antimony.

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if the ph of a salt solution was determined to be 5.89, what is the concentration of hydronium present in the solution. input your answer in decimal format, not scientific notation, and be sure to round to the appropriate number of significant figures

Answers

The concentration of hydronium ions in the solution is approximately 1.41 × 10⁻⁶ M.

What is concentration of ions in a solution?

The concentration of ions in a solution depends on the specific ions present and their stoichiometry. In a salt solution, the concentration of ions can be determined based on the dissociation of the salt.

For example, if we have a salt NaCl, it dissociates in water to form Na+ and Cl- ions. The concentration of Na+ ions and Cl- ions would be equal and can be calculated based on the molar concentration of the salt solution.

If we have a 1 M NaCl solution, the concentration of Na+ ions and Cl- ions would also be 1 M.

In general, the concentration of ions in a solution can be determined by knowing the concentration of the compound that dissociates into those ions and considering the stoichiometry of the dissociation reaction.

The pH of a solution is a measure of the concentration of hydronium ions [\(\rm H_3O^+\)] . The pH scale ranges from 0 to 14, where a pH of 7 is considered neutral, pH below 7 is acidic, and pH above 7 is basic.

To determine the concentration of hydronium ions in a solution from its pH, we can use the equation:

[\(\rm H_3O^+\)] = \(10^{(-pH)\)

Given that the pH of the salt solution is 5.89, we can calculate the concentration of hydronium ions:

[\(\rm H_3O^+\)] = \(10^{-5.89}\)

[\(\rm H_3O^+\)] ≈ 1.41 × 10⁻⁶

Therefore, the concentration of hydronium ions in the solution is approximately 1.41 × 10⁻⁶ M.

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Wind and ocean currents do not move in straight lines; instead, they curve as they move across the planet. What is responsible for this pattern of movement? differences in water temperature differences in water salinity differences in water density the Coriolis effect

Answers

Answer:

the Coriolis effect

Explanation:

the Coriolis effect is a pattern of deflection responsible for this pattern of movement. since the earth rotates on it's axis, circulating air is deflected.

Answer: The Coriolis effect (make the other guy brainlyest he said it first)

Explanation:

A statement that describes what scientists expect to happen every time under a given set of conditions is call a scientific

A statement that describes what scientists expect to happen every time under a given set of conditions

Answers

Answer:

law

Explanation:

it is called a scientific law

small cations are attracted to colloid surfaces more strongly than large cations.

Answers

Colloids are particles that measure between 1 and 1000 nanometers in size and scatter light. They are relatively stable particles that remain suspended in a solvent and do not settle over time.

Because of their small size, colloids have a large surface area, which is a key factor in their reactivity with ions, including cations.The attraction of ions towards a colloid surface is based on their size, charge, and concentration. The charge of a cation plays a vital role in the interaction of a colloid's surface. This is because a colloid's surface carries an opposite charge to that of the cation.

Small cations have a higher charge density than larger ones, which means they are attracted more strongly to colloid surfaces.The high charge density of small cations can interact with the colloid's surface at a closer range than large cations. Because of their size, large cations cannot come as close to the colloid's surface as small cations. Hence, small cations are attracted to colloid surfaces more strongly than large cations.As a result, smaller cations are more attracted to the surface of the colloids than larger ones. This suggests that the stability of colloidal systems is affected by the size of the cation involved.

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What is the correct Lewis structure for Group 5A element, Arsenic?
.As. :AS
As
:
• As.
...
A.
B.
C.
D.
A.
A
B.
B
C.
с
D. D

Answers

Answer:

As

Explanation:

because of ionic bond

How many moles in 4.65 g of Helium?

Answers

Answer:

4.65 g x 1 mol/4.0026 g/mol = 1.162 mol helium

Explanation:

The type of surface that warms up the slowest is .

Answers

Answer:

Answer might be Water...

A surface with a high reflectivity or low heat conductivity typically warms up at the slowest rate. Ice, snow, and some metals, like aluminium, are examples.

A smooth surface is one that doesn't have any ridges or other surface imperfections. It is smooth and devoid of any roughness, dents, or lumps. This kind of surface, which is highly reflective, is frequently seen in materials like glass, polished metal, or plastic. Rough texture: An uneven or irregular texture is indicative of a rough surface. It has lumps, ridges, or other abnormalities that microscopically obstruct the smoothness. Rough surfaces reduce the reflecting qualities of light by scattering it in many directions. Wood, concrete, or coarse fabrics are a few examples of rough surfaces.

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What are the % composition for Carbon and Hydrogen in C3H6?​

Answers

Answer:

Carbon=about 85.13%

Hydrogen=about 14.26%

Explanation:

Percent composition= (molar mass of element x amount of it)/Molar mass x100

C= 12x3/42.08 x100=about 85.13

H=6x1/42.08 =about 14.26

The __________________ in na ions to the ______________ of the cell leads to polarization and the __________________ of k ions to the ______________ of the cell leads to repolarization.

Answers

The influx of Na+ ions to the interior of the cell leads to polarization and the efflux of K+ ions to the exterior of the cell leads to repolarization.

During an action potential in a neuron, there is a sequential change in the movement of ions across the cell membrane. The depolarization phase is initiated by the opening of voltage-gated Na+ channels, allowing Na+ ions to enter the cell. This influx of positive ions depolarizes the cell membrane, making the interior more positive.

As the depolarization phase continues, voltage-gated K+ channels open, allowing K+ ions to leave the cell. The efflux of K+ ions leads to repolarization, restoring the negative charge inside the cell.

So, the influx of Na+ ions to the interior of the cell leads to polarization, and the efflux of K+ ions to the exterior of the cell leads to repolarization.

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> A Moving to another question will save this response. Question 1 What is the mass number of an atom of potassium that has 20 neutrons?
a. 35
b. 59
c. 39
d. 15
e. 19

Answers

The mass number of an atom of potassium that has 20 neutrons is option C. 39

Mass number-

Mass number is the total number of protons and neutrons in the nucleus of an atom is called the mass number. It is represented by the symbol A. In other words, mass number refers to the sum of the number of protons and neutrons in the nucleus of an atom.

Atom-

Atoms are tiny particles that make up everything in the world. Everything in the world is made up of tiny particles known as atoms. An atom is the basic unit of matter. The term "atom" comes from the Greek word atomos, which means indivisible.

The basic building blocks of all matter are atoms, which are made up of three types of particles: protons, neutrons, and electrons.

In a neutral atom, the number of electrons is equal to the number of protons, thus the overall charge on the atom is zero. However, the mass number of the atom is equal to the sum of the number of protons and neutrons.

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If you pluck a guitar string hard the sound waves it gives off will have __________ amplitudes.

Answers

Answer:large

Explanation: I got it right on the quiz

Answer: Large

Explanation: If you plucked a guitar string lightly, the string would vibrate and give off sound waves with small amplitudes. The resulting sound would be soft, with a low decibel level. If you then plucked the guitar string as hard as you could, the string would vibrate strongly and give off sound waves with large amplitudes. The resulting sound would be loud, with a higher decibel level.  

I NEED HELP ASAP!! PLEASEEEEE!

I NEED HELP ASAP!! PLEASEEEEE!
I NEED HELP ASAP!! PLEASEEEEE!

Answers

The following on natural selection include:

5. To verify the theory of evolution.6. Variation and inheritance.7. To study population size and correlation between beak size and survival rate.8. Adaptation to environmental factors.9. Flinches eat insects during rainy seasons.10. Natural selection can occur rapidly and be influenced by environment.11. 50% chance that a finch will survive to reproduce

What was the flinch study about?

5. It was so important for the Grants to be able to test Darwin's hypothesis because it was a way to verify the theory of evolution. Darwin's theory of evolution states that species change over time through a process of natural selection. Natural selection is the process by which organisms that are better adapted to their environment are more likely to survive and reproduce. The Grants' study on the finches on the Galapagos Islands provided evidence to support Darwin's theory of evolution.

6. The two assumptions the Grants based their experiments on are:

Variation: There is variation in the beak size of the finches on the Galapagos Islands.Inheritance: The beak size of the finches is inherited from their parents.

7. It would be important for the Grants to examine and identify almost every bird on the island Daphne Major because they needed to know the number of finches in the population in order to calculate the survival rate. They also needed to know the beak size of each finch in order to see if there was a correlation between beak size and survival rate.

8. The Grants recorded data on seven finch characteristics: beak size, body size, wing length, tail length, bill depth, bill width, and head shape. This information tells us that there is a lot of genetic variation in the population of finches on the Galapagos Islands. This variation is important because it allows the finches to adapt to different environmental conditions. For example, finches with larger beaks are better able to eat large seeds, while finches with smaller beaks are better able to eat small seeds.

9. The rainy season was not an ideal time to study the finches eating habits because the finches were more likely to be eating insects than seeds during this time. This is because there were more insects available during the rainy season.

10. From this study, the Grants made two conclusions:

Natural selection can occur rapidly. The Grants observed that the beak size of the finches changed over a period of just a few years. This suggests that natural selection can occur rapidly, even in a short period of time.

Natural selection can be influenced by the environment. The Grants observed that the beak size of the finches changed in response to a change in the environment. When the rainy season ended, the finches that had larger beaks were more likely to survive and reproduce. This suggests that natural selection can be influenced by the environment.

If a finch has a beak size of 11mm, its percentage of survival is 50%. This means that half of the finches with a beak size of 11mm will survive to reproduce.

11. A 50% chance of survival means that there is a 50% chance that a finch will survive to reproduce. This means that half of the finches will die before they have a chance to reproduce.

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1. what is the measure of the total energy radiated by a star in
one second called?
a. flux
b. luminosity
c. apparent magnitude
d. absolute magnitude

Answers

B. Luminosity
The only way scientists can measure a sun at this point of time is through how bright it is

The measure of the total energy radiated by a star in one second is called luminosity.

Luminosity represents the intrinsic brightness of a star and is a measure of the total power output in terms of energy. It is an important characteristic of a star that indicates its size and temperature.

Luminosity is typically expressed in units of watts or solar luminosities (the luminosity of our Sun). Flux, on the other hand, refers to the amount of energy received per unit area per unit time, and it is influenced by the distance between the star and the observer. Apparent magnitude and absolute magnitude are measures of a star's brightness as observed from Earth and at a standard distance, respectively, and they are related to luminosity but not the direct measure of energy radiated.

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write ten Compounds, their chemical formular and the Constitutuent element​

Answers

A compound is a substance formed when two or more chemical elements are chemically bonded together.

What are the compounds and their constituent elements?

Constituent elements involve water, physical habitat, and biological environment. Two types of chemical bonds normal in compounds are covalent and ionic bonds. The elements combine together in an exact ratio e.g. water, hydrogen, and oxygen elements are present in the ratio of 2:1.A constituent is someone who lives in a particular district, especially someone who is able to vote in an election.

one of the parts of which a thing is made up: element, ingredient. : any of the voters who elect a person to act for them. constituent. 2 of 2 adjectives. : devise a part of a whole: component.

So we can conclude that; A compound is formed when two or more atoms of dissimilar elements combine together.

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Select the correct statements that describe a double-displacement reaction.They are not redox reactions.They are also called "metathesis reactions."They involve two reactant compounds exchanging bonding partners.

Answers

B. They are also called "metathesis reactions" and

C. They involve two reactant compounds exchanging bonding partners are correct statements that describe a double-displacement reaction.

What is double displacement reaction?

Double-displacement reactions, also known as metathesis reactions, involve the exchange of positive ions between two reactant compounds to form two new compounds. The reaction can be represented by the general equation:

AB + CD → AD + CB

In this type of reaction, the cations and anions in the reactants switch partners, forming new ionic compounds. These reactions do not necessarily involve oxidation-reduction (redox) reactions, so statement A is incorrect.

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A wave has a frequency of 600 Hz and a wavelength of 1600 m. What is the
wave speed?

Answers

Answer:

1.0 × \(10^{6}\) m/s

Explanation:

The equation for wave speed is:

C=λv

C=? m/s

λ= 1600m

v= 600 Hz

C=(1600m)(600Hz) =1.0 × \(10^{6}\) m/s

if the ratio of acid to base in a buffer increases by a factor of 100, the ph of the buffer
a. decreases by 2.
b. increases by 10.
c. remains unchanged.
d. increases by 2.
e. decreases by 100.

Answers

If the ratio of acid to base in a buffer increases by a factor of 100, the pH of the buffer remains unchanged (c).

The pH of a buffer solution is determined by the ratio of acid to base components and their respective dissociation constants. In a buffer, the acid and its conjugate base exist in equilibrium, and this equilibrium determines the pH of the solution.

When the ratio of acid to base in a buffer increases by a factor of 100, it means that the concentration of the acid component becomes 100 times greater compared to the base component. This change in concentration, however, does not affect the dissociation constants of the acid and its conjugate base.

The pH of a solution is a measure of its acidity or alkalinity and is defined as the negative logarithm of the hydrogen ion concentration ([H+]). In a buffer solution, the pH is determined by the equilibrium between the acid and base components. Increasing the concentration of the acid while keeping the base concentration constant does not alter the equilibrium and, therefore, does not change the pH of the buffer solution.

Hence, when the ratio of acid to base in a buffer increases by a factor of 100, the pH of the buffer remains unchanged.

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Girls are usually completely physically mature by _____ years old.
A.
17
B.
19
C.
14
D.
21


Please select the best answer from the choices provided. Anyone know for EDGE


A
B
C
D

Answers

Answer:

a 17 bc it is how it works

Girls are usually completely physically mature by 18 years old.

What is puberty ?

Puberty refers to the physical transformation of a child's body into an adult one capable of fertile reproduction.

In girls puberty generally attains before two years earlier than the boys. And the exact age of the girls to attain puberty is in between the age of 10 to 14.

Hence the age of girls to attain puberty is 14.

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40 points!
Describe One Front It Forms with Another Air Mass
Continental Polar:
Continental Tropical:
Maritime Polar:
Maritime Tropical:

Answers

Answer:

cold front, cold front, warm front, cold front, warm front, also low, low, high, low, high air presure

Explanation:

If 35 grams of HCl were dissolved in enough water to make a solution with a total volume of 5.0 liters, what would be the molarity of the solution?

Answers

Answer: 0.19 M

Explanation:

The gram formula mass of HCl is 36.46 g/mol, so 35 grams of HCl is about 35/36.46 = 0.96 moles.

molarity = (moles of solute)/(liters of solution) = 0.96 / 5.0 = 0.19 M

Molarity (M) = 0.961 moles / 5.0 liters ≈ 0.1922 mol/L

The molarity of the solution is approximately 0.1922 mol/L or 0.1922 M.

To calculate the molarity (M) of the solution, we need to use the formula:

Molarity (M) = Number of moles of solute / Volume of solution (in liters)

Given that 35 grams of HCl are dissolved in 5.0 liters of water, we first need to find the number of moles of HCl using its molar mass.

The molar mass of HCl (hydrochloric acid) is the sum of the atomic masses of hydrogen (H) and chlorine (Cl):

Molar mass of HCl = 1.01 g/mol (H) + 35.45 g/mol (Cl) = 36.46 g/mol

Now, we can calculate the number of moles of HCl:

Number of moles = Mass of HCl / Molar mass of HCl

Number of moles = 35 g / 36.46 g/mol ≈ 0.961 moles

Finally, we can calculate the molarity of the solution:

Molarity (M) = 0.961 moles / 5.0 liters ≈ 0.1922 mol/L

The molarity of the solution is approximately 0.1922 mol/L or 0.1922 M.

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Need help. Is this correct

Need help. Is this correct

Answers

Answer:

Yes, that is correct!

Explanation:

Answer:

Yes

Explanation:

A covalent bond consists of the mutual sharing of one or more pairs of electrons between two atoms. These electrons are simultaneously attracted by the two atomic nuclei. A covalent bond forms when the difference between the electronegativities of two atoms is too small for an electron transfer to occur to form ions.

If a sample of air in a closed, rigid container was heated, would the partial pressure of oxygen increase, decrease or remain the same?

Answers

Answer:

increase

Explanation:

To solve this problem, you simply have to apply the Ideal Gas Law. Using this equation, we know that the pressure is directly proportional to the temperature. Thus, as something is heated (i.e. its temperature is increasing), its pressure would increase as well.

Would a family whose average medical expenses were $15,000 a year save more money with a PPO that has a $5,000 deductible or one that requires the insured person to pay 20% of the cost? Explain your answer

Answers

The family would have to compare the premiums and out-of-pocket costs of both plans to determine which one is the most cost-effective for their specific medical needs.

Why is it at the expense of the family decision?

To determine which plan would save the family more money, we need to compare the total cost of each plan over a year. Let's assume that the total medical expenses for the family in a year are $15,000.

With the PPO that has a $5,000 deductible, the family would have to pay the first $5,000 of medical expenses out of pocket. After that, the insurance plan would cover the remaining $10,000 of expenses. The family's out-of-pocket cost for the year would be $5,000 (deductible) plus the cost of the insurance premiums. If the insurance premiums are less than the amount they would have paid with the 20% plan, then the PPO with a $5,000 deductible would be more cost-effective.

With the plan that requires the insured person to pay 20% of the cost, the family would have to pay 20% of the total medical expenses, which would be $3,000 (20% of $15,000). In addition, they would also have to pay the cost of the insurance premiums. If the insurance premiums are greater than the amount they would have paid with the PPO, then the plan that requires them to pay 20% of the cost would be more expensive.

Therefore, we need to compare the cost of the insurance premiums for each plan to determine which one would save the family more money. If the premiums for the PPO plan are less than the additional $2,000 cost of the 20% plan ($5,000 - $3,000), then the PPO with a $5,000 deductible would be more cost-effective. If the premiums for the 20% plan are less than the additional $2,000 cost of the PPO plan, then the 20% plan would be more cost-effective.

In general, it is difficult to determine which plan is more cost-effective without knowing the specific insurance premiums for each plan. The family should compare the premiums and out-of-pocket costs of both plans to determine which one is the most cost-effective for their specific medical needs.

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please I need help ASAP
Lead nitrate decomposes on heating as indicated in Equation. 2Pb(NO3)2(s) 2PbO(s) + 4NO₂(g) + O₂(g) (4.8) If a volume of 112 cm³ of oxygen gas was collected at STP when a sample of lead nitrate was completely decomposed by heating, calculate the; (a) mass of the lead nitrate sample. (b) mass of lead(II) oxide produced. (c) Volume of nitrogen dioxide gas produced at STP. (Pb=207, N = 14, O=16; molar volume of gas at STP = 22.4 dm³)​

Answers

Answer:

To solve this problem, we'll need to use stoichiometry and the molar ratios from the balanced chemical equation. Here's how you can calculate the values:

(a) Mass of the lead nitrate sample:

From the balanced equation, we can see that 2 moles of lead nitrate (Pb(NO3)2) produce 1 mole of oxygen gas (O2). We know that the volume of oxygen gas collected is 112 cm³, which is equal to 112/1000 = 0.112 dm³ (converting cm³ to dm³).

According to the molar volume of gas at STP (22.4 dm³), 1 mole of any gas occupies 22.4 dm³ at STP. Therefore, the number of moles of oxygen gas can be calculated as:

moles of O2 = volume of O2 / molar volume at STP

moles of O2 = 0.112 dm³ / 22.4 dm³/mol = 0.005 mol

Since 2 moles of lead nitrate produce 1 mole of oxygen gas, we can determine the number of moles of lead nitrate as:

moles of Pb(NO3)2 = 2 * moles of O2

moles of Pb(NO3)2 = 2 * 0.005 mol = 0.01 mol

To calculate the mass of the lead nitrate sample, we'll use its molar mass:

mass of Pb(NO3)2 = moles of Pb(NO3)2 * molar mass of Pb(NO3)2

mass of Pb(NO3)2 = 0.01 mol * (207 g/mol + 2 * 14 g/mol + 6 * 16 g/mol)

mass of Pb(NO3)2 = 0.01 mol * 331 g/mol

mass of Pb(NO3)2 = 3.31 g

Therefore, the mass of the lead nitrate sample is 3.31 grams.

(b) Mass of lead(II) oxide produced:

From the balanced equation, we can see that 2 moles of lead nitrate (Pb(NO3)2) produce 2 moles of lead(II) oxide (PbO). So, the number of moles of PbO produced is equal to the number of moles of Pb(NO3)2.

mass of PbO = moles of PbO * molar mass of PbO

mass of PbO = 0.01 mol * (207 g/mol + 16 g/mol)

mass of PbO = 0.01 mol * 223 g/mol

mass of PbO = 2.23 g

Therefore, the mass of lead(II) oxide produced is 2.23 grams.

(c) Volume of nitrogen dioxide gas produced at STP:

From the balanced equation, we can see that 2 moles of lead nitrate (Pb(NO3)2) produce 4 moles of nitrogen dioxide gas (NO2). So, the number of moles of NO2 produced is twice the number of moles of Pb(NO3)2.

moles of NO2 = 2 * moles of Pb(NO3)2

moles of NO2 = 2 * 0.01 mol = 0.02 mol

Using the molar volume of gas at STP, we can calculate the volume of nitrogen dioxide gas:

volume of NO2 = moles of NO2 * molar volume at STP

volume of NO2 = 0.02 mol * 22.4 dm³/mol = 0.448 dm³

Therefore, the volume of nitrogen dioxide gas

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