Chapter 8, Problem 24Q

Interpretation Introduction

Interpretation: For a given condition, change in the volume of weather balloon by temperature effect and pressure effect at upper atmosphere should be explained.

Concept introduction:

• A gas kept in the particular container at constant pressure. If the container of gas is heated, the gaseous particle is expanded and the volume of container is increased. That is the volume of container is directly proportional to the temperature of gas. As increasing the temperature of a particular gas the volume of gas will expand. This direct relationship between the temperature and volume of gas is termed as Charles’s law.

              Mathematically this law can be written as, $\text{V}\propto \text{T}$

               By changing the proportionality sign,     $V=bT$

• Where T is temperature and b is proportionality constant.

  According to Boyle’s law, at constant temperature and number of moles,              volume of a gas container is inversely proportional to the pressure excreted on the           container.

              Mathematically,

                                            $\text{P}\propto \frac{\text{1}}{\text{V}}$

            Or

                                            $\text{PV=K}$

         Where,

          P = pressure in atmospheres

          V= volumes in liters

          K= a constant for a particular gas at given temperature