Chapter 18, Problem 18.35SP

Interpretation Introduction

Interpretation:

The amount (in kilograms) of carbon that is required to produce sufficient hydrogen to fill the dirigible at $\text{20°C}$ and $\text{740}\text{mm}$ pressure has to be given.

Concept Introduction:

Ideal gas law is applicable to those gases which obey Boyle’s law and Charles’s law. The ideal gas equation can be obtained by combining the equations of Boyle’s law and Charles’s law.

At constant temperature, (Boyle’s law)

$\text{Pα}\frac{\text{1}}{\text{V}}$

At constant volume, (Charles’s law)

$\text{PαT}$

By combining the above equations,

$\begin{array}{l}\text{Pα}\frac{\text{T}}{\text{V}}\\ \\ \text{PVαT}\\ \\ \text{PV=RT}\end{array}$

Where R= proportionality constant called as gas constant.

The general equation for ideal gas law is written as,

$\text{PV=nRT}$

Where n= number of moles