Chapter 9, Problem 9.118CHP

(a)

Interpretation Introduction

Interpretation:

The total number of moles of gas in the sample has to be calculated.  

Concept Introduction:

Ideal gas equation is an equation that is describing the state of an imaginary ideal gas.

$\text{PV}\text{=}\text{n RT}$

Where,

P is the pressure of the gas

V is the volume

n is the number of moles of gas

R is the universal gas constant $\text{(R=0}{\text{.0821LatmK}}^{\text{-1}}{\text{mol}}^{\text{-1}})$

T is the temperature

Number of moles:

It is a physical property, which is defined as the mass of a given substance divided by the amount of substance. Unit of the mole is $\text{mol}$

$\text{number}\text{of}\text{moles}\text{=}\text{amount}\text{of}\text{mass}\text{×}\frac{\text{1}\text{mol}}{\text{molar}\text{mass}}$

(b)

Interpretation Introduction

Interpretation:

The pressure of the sample has to be calculated.

Concept Introduction:

Ideal gas equation is an equation that is describing the state of an imaginary ideal gas.

$\text{PV}\text{=}\text{n RT}$

Where,

P is the pressure of the gas

V is the volume

n is the number of moles of gas

R is the universal gas constant $\text{(R=0}{\text{.0821LatmK}}^{\text{-1}}{\text{mol}}^{\text{-1}})$

T is the temperature

(c)

Interpretation Introduction

Interpretation:

The partial pressure of the each component in the sample 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,

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

(d)

Interpretation Introduction

Interpretation:

The liberated heat in kilojoules sample has to be calculated.

Concept Introduction:

Heat liberation:

The amount of heat released in a course of reaction is known as liberation of heat.

When the reaction goes the molecules goes change in heat combustion at a certain pressure.

Heat liberated=

$\left(\text{number}\text{of}\text{moles}\right)\left(\text{mole-fraction}\right)\left(\text{ΔH}\right)+\left(\text{number}\text{of}\text{moles}\right)\left(\text{mole-fraction}\right)\left(\text{ΔH}\right)+\mathrm{....}$