A sample of gas has a pressure of 854 torr at 285 degree C. To what Celsius temperature must the gas be heated to double its pressure if there is no change in the volume of the gas?

1 Answer
Meave60 · Media Owl
Mar 23, 2015

The new temperature will be #"843"^("o")"C"#.

You will need to use the equation for Gay-Lussac's law:

#(P_1)/(T_1) = (P_2)/(T_2)#

#P_1 = 854 "torr"#
#T_1 = 285"^(o)C + 273 K = 558 K#
#P_2 = 1708 "torr"#
#T_2 = ?#

#T_2 = (P_2T_1)/(P_1) = (1708 "torr" · 558 K)/(854 "torr")# = #1116 K#

#1116K - 273 = 843"^(o)C#

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