What is the initial pressure of a gas having an initial temperature of 90.5K, an initial volume of 40.3 L, final pressure of .83 atm, a final temperature of .54 K and a final volume of 2.7L?

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Answer 1 · 2015-12-05T07:05:30

The initial volume is #"9.3 atm"#.

Use the combined gas law. #(P_1V_1)/T_1=(P_2V_2)/T_2#

Given
#V_1="40.3 L"#
#T_1="90.5 K"#
#P_2="0.83 atm"#
#V_2="2.7 L"#
#T_2="0.54 K"#

Unknown
#P_1#

Equation
#(P_1V_1)/T_1=(P_2V_2)/T_2#

Solution
Rearrange the equation to isolate #P_1# and solve.

#P_1=(P_2V_2T_1)/(T_2V_1)#

#P_1=((0.83"atm" xx2.7cancel"L"xx90.5cancel"K"))/((0.54cancel"K"xx40.3cancel"L"))="9.3 atm"#