Chapter 13, Problem 67A

Interpretation Introduction

Interpretation:

The final volume of the gas is to be calculated.

Concept introduction:

The ideal gases are those gases which obey the ideal gas equation and the ideal gas equation is written as

  $\text{PV}\text{= nRT}$

Answer to Problem 67A

The final volume is $\text{233}\text{.3}\text{ml}$ .

Explanation of Solution

Given information:

Initial volume = $\text{350}\text{.0 }\text{ml}$

Initial temperature = $\text{27°C}$

Initial Pressure = $\text{72}\text{cmHg}$

R, gas constant = $\text{0}\text{.0821}$

Calculation:

When one-third of gas is leaked out then the remaining volume is

  $\begin{array}{l}{\text{V}}_{\text{2}}\text{=}{\text{V}}_{\text{1}}\text{-}\frac{\text{1}}{\text{3}}{\text{V}}_{\text{1}}\\ \text{=}\frac{\text{2}}{\text{3}}{\text{V}}_{\text{1}}\\ \text{=}\frac{\text{2}}{\text{3}}\text{×350}\text{.0}\text{ml}\\ \text{=}\text{233}\text{.3}\text{ml}\end{array}$

Conclusion

So, we conclude that after removing the one-third gas then final volume is $\text{233}\text{.3}\text{ml}$ .