Chapter 1, Problem 1.18NP

(a)

Interpretation Introduction

Interpretation:The total pressure in the vessel needs to be calculated.

Concept Introduction: Pressure, Volume, Temperature and mole can be related by Ideal gas Equation as:

  $PV=nRT$

Where, P = pressure

V = volume

n = mole

R = universal gas constant

T = temperature

(b)

Interpretation Introduction

Interpretation: The mole fraction and partial pressure of each gas needs to be determined.

Concept Introduction:

Mole Fraction: It is ratio of mole of component and total moles. It is given as:

  $\text{Mole fraction (}\chi \text{) = }\frac{\text{mole of component}}{\text{Total moles}}$

Dalton’s Law of Partial pressure:It states that total pressure of mixture of gases is sum of their partial pressure.

  $P_{total}=P_1+P_2+P_3+\dots \dots \dots$

Also, it relates partial pressure of gases with total pressure as:

  $P_{\text{gas}}=P_{\text{total}}\times {\chi }_{\text{gas}}$

Where, P_gas = partial pressure of gas

P_total = total pressure of mixture

  ${\chi }_{gas}$ = mole fraction of gas