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,

`(V_1)/(V_2)=(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.

`(22.6L)/(V_2)=(280K)/(278K)`

`V_2=22.4L`

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