Gas stored in a tank at 273 K has a pressure of 388 kPa. The safe limit for the pressure is 825 kPa. At what temperature will the gas reach this pressure?

1 Answer
Nov 24, 2015

Answer:

The temperature at which the gas pressure inside the tank will equal 825 kPa is 508 K.

Explanation:

Gay-Lussac's law states that the pressure of a gas held at constant volume is directly proportional to its temperature in Kelvins.

The equation for Charles' law is #P_1/T_1=P_2/T_2#.

#P_1="388 kPa"#
#T_1="273 K"#
#P_2="825 kPa"#
#T_2="???"#

Rearrange the equation to isolate #T_2#, substitute the given values, and solve.

#T_2=(P_2T_1)/(P_1)#

#T_2=(825cancel"kPa"xx273"K")/(388cancel"kPa")="580 K"#