Chapter 8, Problem 71QRT

(a)

Interpretation Introduction

Interpretation:

Pressure of the vessel should be calculated using Ideal gas equation $\text{92 atm}\text{.}$

Concept Introduction:

Ideal gas Equation:

Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas. Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained. It is referred as ideal gas equation.

  $\begin{array}{l}\text{V }\propto \frac{\text{nT}}{\text{P}}\\ \\ \text{V = R}\frac{\text{nT}}{\text{P}}\\ \\ \text{PV = nRT}\end{array}$

Here,

  n is the moles of gas

    P is the Pressure

  V is the Volume

    T is the Temperature

    R is the gas constant

(b)

Interpretation Introduction

Interpretation:

Pressure of the vessel should be calculated using van der Waals equation.

Concept Introduction:

Van der Waal’s gas equation:

The van der Waal equation describes the ideal gas as it approaches to zero. The van der Waal equation contains correction terms a and b for the intermolecular forces and molecular size respectively.

The van der Waal equation is as follows,

  $\left[P+a{\left(\frac{n}{V}\right)}^2\right]\left(\frac{V}{n}-b\right)=RT$