Chapter 5, Problem 5.86QP

Interpretation Introduction

Interpretation:

The partial pressure of each of the gases in the undersea habitat which is 58.5 m below the sea level with the pressure of 6.91 atm has to be calculated

Concept Introduction:

Partial Pressure:

Dalton’s law of partial pressure states that “the total pressure (P) of the mixture is equal to the sum of the partial pressures ${\text{(P}}_{\text{A}}{\text{, P}}_{\text{B}}{\text{, P}}_{\text{C}}\mathrm{.....}\text{)}$ of all the component gases $\text{(A, B, C}\mathrm{......}\text{)}$  present in the mixture” and is given as,

${\text{P = P}}_{\text{A}}{\text{ + P}}_{\text{B}}{\text{ + P}}_{\text{C}}\text{ + }\mathrm{.......}$

The ideal gas law for the individual gas component A is given as,

${\text{P}}_{\text{A}}{\text{V = n}}_{\text{A}}\text{RT}$

Mole fraction:

Mole fraction of a component gas is defined as “the fraction of moles of that component in the total moles of gas mixture” and is given as,

$\text{Mole fraction of A = }\frac{n_{\text{A}}}{n}\text{ = }\frac{{\text{P}}_{\text{A}}}{\text{P}}$