Chapter 5, Problem 5.7P

Interpretation Introduction

Interpretación:

The maximum possible power obtainable and the rate of heat transfer from the heat source.

Concept introduction:

Density is defined as the ratio of mass to the volume.

Now, from ideal gas equation, PV = nRT

Where, n = number of moles

P = pressure

V = volume

R = gas constant

T = temperature

Number of moles = $\frac{\text{mass in g}}{\text{molar mass}}$

Insert the values in ideal equation, equation reduces to

  $\text{PV=}\frac{\text{mRT}}{\text{MW}}$

Now, as density = mass divided by volume, above formula further reduces to

$\text{ρ=}\frac{\text{RT}}{\text{MW}\times \text{P}}$ ( $\rho$ = density)

Heat is equal to product of mass and specific heat which is given by

  ${\text{Q}}_{\text{H}}{\text{=c}}_{\text{p}}\times \text{m}$