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
anor277
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#

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