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
Meave60
Nov 24, 2015

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"

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