Question

An arctic weather balloon is filled with 12.1L of helium gas inside a prep shed. The temperature inside the shed is 9.°C. The balloon is then taken outside, where the temperature is −7.°C. Calculate the new volume of the balloon. You may assume the pressure on the balloon stays constant at exactly 1atm. Round your answer to 3 significant digits.

Answer 1

Answer : The new or final volume of gas will be, 11.4 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 = 12.1 L

`V_2` = final volume of gas = ?

`T_1` = initial temperature of gas =
`9^oC=273+9=282K`

`T_2` = final temperature of gas =
`-7^oC=273+(-7)=266K`

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

`(12.1L)/(V_2)=(282K)/(266K)`

`V_2=11.4L`

Therefore, the new or final volume of gas will be, 11.4 L