Chapter 5, Problem 66E

Interpretation Introduction

Interpretation: For the given data, the radius of spherical container should be determined.

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,

                                             $\text{PV=nRT}$

        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. For a gas at two conditions, the unknown variable can be determined by knowing the variables that change and remain constant and can be generated an equation for unknown variable from ideal gas equation.

Volume of a sphere can determined by using the below equation.

Volume of a sphere = $\frac{4}{3}\pi r^3$

       Where,

          r = radius of sphere