   # Calculate the pressure exerted by 0.5000 mole of N 2 in a 1.0000-L container at 250°C a. using the ideal gas law. b. using the van der Waals equation. c. Compare the results. ### 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 115E
Textbook Problem
131 views

## Calculate the pressure exerted by 0.5000 mole of N2 in a 1.0000-L container at 250°Ca. using the ideal gas law.b. using the van der Waals equation.c. Compare the results.

Interpretation Introduction

Interpretation: For a given condition, the pressure should be determined and compared by using ideal gas law, and Van der Waals equation

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 ( 0.08206Latm/Kmol )

1T = temperature in kelvins

A modified ideal gas equation on account of molecular size and molecular interaction forces is termed as Van der Waals equation.

That is,                [P+a(nV)2](V-nb)=nRT

‘a’ and ‘b’ is called Van der Waals coefficient and are characteristic of the individual gas

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 Kelvin’s

### Explanation of Solution

Explanation

• To determine: The pressure by using ideal gas law

By using ideal gas equation, P­ = 12.24 atm

Accordingtoidealgasequation,PV=nRTP=nRTVHerethedata'sare,n=0.5000moleR =0.08206L×atm/K×molT=25.0°C=298KSince,°C+273=K25°C+273=298KV=1.0000LP=0.5000mol×0.08206LatmKmol×298K1.0000L=12.24atm

• To determine: The pressure by using Van der Waals equation

By using Van der Waals equation, P = 12.13 atm

AccordingtoVan der Waals equation [P+a(nV)2](V-nb)=nRT    Herethegivendata'sare ,‘a’ and ‘b’ are called Van der Waals coefficient and are characteristic of the individual gasforN2gas,a=1

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