Chapter 5, Problem 5.27QP

Interpretation Introduction

Interpretation:

From the consideration of container A and Container B which is having a molecule and two molecules respectively at standard temperature and the change in pressure should be explained.

The change in pressure should be determined when four different containers having same volume and same temperature.

The change in pressure should be determined when the Container H having twice the volume of Container G.

The change in pressure should be determined when the Container H having twice the volume of Container G when two more molecules of gases been added to container H.

The change in pressure should be determined when the Container J having twice the volume of Container I at temperature 200 K and 100 K respectively.

Concept Introduction:

Ideal gas equation:

At a constant temperature (K) and pressure (P), the volume (v) occupied by the no of moles of any gas is known as ideal gas equation.

Ideal gas equation:

$\text{PV}\text{=}\text{nRT}$

Where,

And the SI units are

$\begin{array}{l}\text{T= Temperature }\left({\text{273}}^{\text{0}}\text{K}\right)\text{ = Kelvin}\\ \text{n = no of moles}\left(\text{1}\text{mole =}\text{6}{\text{.023×10}}^{\text{23}}\text{atoms}\right)\text{ = mole}\\ \text{V= Volume }\left(\text{22}\text{.4 L}\right)\text{ = cubic}\text{meter}\left({\text{m}}^{\text{3}}\right)\\ \text{P = Pressure }\left(\text{1}\text{atm}\right)\text{ = pascal(Pa)}\\ \text{R= universal gas constant }\left(\text{8}\text{.314 }\frac{\text{joule}}{\text{mole}\text{.kelvin}}\right)\text{ = }\frac{\text{joule}}{\text{mole}\text{.kelvin}}\end{array}$