Question

An arctic weather balloon is filled with 22.6L of helium gas inside a prep shed. The temperature inside the shed is 7°C. The balloon is then taken outside, where the temperature is 5°C. Calculate the new volume of the balloon.?

Answer 1

Answer : The new volume of the balloon is, 22.4 L

Explanation :

Charles' Law : It is defined as the volume of gas is directly proportional to the temperature of the gas at constant pressure and number of moles.

$V\propto T$

or,

$\frac{V_1}{V_2}=\frac{T_1}{T_2}$

where,

$V_1$ = initial volume of gas = 22.6 L

$V_2$ = final volume of gas = ?

$T_1$ = initial temperature of gas = $7^oC=273+7=280K$

$T_2$ = final temperature of gas = $5^oC=273+5=278K$

Now put all the given values in the above formula, we get the final volume of the gas.

$\frac{22.6L}{V_2}=\frac{280K}{278K}$

$V_2=22.4L$

Therefore, the new volume of the balloon is, 22.4 L