Chapter 8, Problem 43E

Interpretation Introduction

Interpretation:

For the given condition of balloon, it should be checked will the balloon burst or not.

Concept introduction:

By combining the three gaseous laws namely Boyle’s law, Charles’s law and Avogadro’s law a combined gaseous equation is obtained. This combined gaseous equation is called Ideal gas law.

According to ideal gas law,

$\text{PV=nRT}$= constant

Where,

          P = pressure in atmospheres

          V= volumes in liters

          n = number of moles

          R =universal gas constant ( $\text{0}\text{.08206L×atm/K×mol}$)

          T = temperature in kelvins

By knowing any three of these properties, the state of a gas can be simply identified with applying the ideal gas equation.

At constant temperature, gas constant and number of moles the above equation becomes;

${\text{P}}_{\text{1}}{\text{V}}_{\text{1}}\text{=}{\text{P}}_{\text{2}}{\text{V}}_{\text{2}}$

From the above equation final volume ( ${\text{V}}_{\text{2}}$) can be calculated as follows;

${\text{V}}_{\text{2}}=\frac{{\text{P}}_{\text{1}}{\text{V}}_{\text{1}}}{{\text{P}}_{\text{2}}}$