Question #b6669

1 Answer
Apr 30, 2015

The new volume of hydrogen gas at STP is #4550 "L"#.

The equation for the combined gas law is #(P_1V_1)/T_1=(P_2V_2)/T_2#.

If I read your problem correctly, you want the volume of hydrogen gas after it has been adjusted to STP.

Known:
#P_1=100.0 "atm"#
#V_1=50.0 "amt"#
#T_1=27.0^"o""C+273.15=300.2K"#

#P_2=1.00 "atm"#
#T_2=0^"o""C+273.15=273.15K"#

Unknown:
#V_2#

Solution: Rearrange the equation to isolate and solve for #V_2#.

#V_2=(P_1V_1T_2)/(T_1P_2)=(100.0cancel"atm" * 50.0 "L" * 273.15cancel"K")/(300.2cancel"K" * 1.00cancel"atm")=4550 "L"#