   # Consider two separate gas containers at the following conditions: Container A Container B Contents: SO 2 ( g ) Contents: unknown gas Pressure = P A Pressure = P B Moles of gas = 1.0 mol Moles of gas = 2.0 mol Volume = 1.0 L Volume = 2.0 L Temperature = 7°C Temperature = 287°C How is the pressure in container B related to the pressure in container A? ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 8, Problem 57E
Textbook Problem
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## Consider two separate gas containers at the following conditions: Container A Container B Contents: SO2(g) Contents: unknown gas Pressure = PA Pressure = PB Moles of gas = 1.0 mol Moles of gas = 2.0 mol Volume = 1.0 L Volume = 2.0 L Temperature = 7°C Temperature = 287°C How is the pressure in container B related to the pressure in container A?

Interpretation Introduction

Interpretation: For the given data of container A and B, how the pressure in both containers is related to each other should be determined.

Concept introduction:

By combining the three gaseous laws namely Boyle’s law, Charles’s law and Avogadro’s law a combined gaseous equation is obtained. This combined gaseous equation is called Ideal gas law.

According to ideal gas law,

PV=nRT

Where,

P = pressure in atmospheres

V= volumes in liters

n = number of moles

R =universal gas constant ( 0.08206L×atm/K×mol )

T = temperature in kelvins

By knowing any three of these properties, the state of a gas can be simply identified with applying the ideal gas equation. For a gas at two conditions, the unknown variable can be determined by knowing the variables that change and remain constant and can be generated an equation for unknown variable from ideal gas equation.

### Explanation of Solution

Explanation

According to ideal gas equation,

PV=nRT

By rearranging the above equation,

PVnT=R

Since R is a gas constant, for a gas at two conditions the equation can be written as:

P1V1n1T1=R=P2V2n2T2orP1V1n1T1=P2V2n2T2

For the given data, equation for relative pressure for containerA and B

PBPA=VAnBTBVBnATA (1)

The equation for relating the pressure in containerA and B is the ratio of pressure in the container B to the pressure in the container A. It can be calculated by dividing the product of volume in the container A, number of moles and temperate in the container B to the product of volume in the container B and number of moles and pressure in the container A.

The given data and its values.

TA=7°C=280Ksince,1K=°C+273=7°C+273

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