A hot air balloon is filled with 1.89 x 10^2 liters of air at 21 C. If atmospheric pressure does not change, how hot must the air become in order to increase the volume to 4.5 x 10^2 liters?

1 Answer
Sep 20, 2016

We use "Charles' Law" V_2/T_2=V_1/T_1. T_2 will at least double T_1.

Explanation:

"Charles' Law" states that a given quantity of gas has a volume directly proportional to the absolute temperature:

VpropT, else V=kT. Solving for k, V_1/T_1=V_2/T_2, and T_2=V_2/V_1xxT_1

T_2=(4.5xx10^2*L)/(1.89xx10^2*L)xx294*K = ??K