Chapter 8, Problem 116E

Interpretation Introduction

Interpretation: For a given condition, the pressure should be determined and compared by using ideal gas law, and Van der Waals equation  at V= 1.00L  and V=10.00L

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 ( $0.08206L\cdot atm/K\cdot mol$)

T = 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,                $\left[P+a{\left(\frac{n}{V}\right)}^2\right]\left(V-nb\right)=nRT$

‘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 ( $0.08206L\cdot atm/K\cdot mol$)

T = temperature in kelvins