Question

A sample of gas in a balloon has an initial temperature of 22 ∘C and a volume of 1820 L . If the temperature changes to 84 ∘C , and there is no change of pressure or amount of gas, what is the new volume, V2, of the gas?

Answer 1

The new volume of the gas is 1955.65 L.

Step-by-step explanation:

Initial temperature of the gas in the balloon =
`T_1`= 22°C = 295.15 K

Initial volume of the the gas
`V_1`= 1820 L

Final temperature of the gas in the balloon
`T_2` = 84°C = 317.15 K

Final volume of the the gas =
`V_2=?`

Under constant pressure and amount of gas, the gas will follow Charles' law:

`(V_1)/(T_1)=(V_2)/(T_2)` (Constant pressure)

`V_2=(1820 L* 317.15 K)/(295.15 K)=1955.65 L`

The new volume of the gas is 1955.65 L.