At constant pressure and 25 °C a sample of gas occupies 4.5 liters. At what temperature will the gas occupy 9.0 liters?

1 Answer
Stefan V.
Dec 7, 2014

The answer is 596.3K.

This is a simple example of Charles' law

V_1/T_1 = V_2/T_2,

which states that the volume of a gas is directly proportional to its temperature in K.

We know V_1 = 4.5 L, T_1 = (25 + 273.15) = 298.15K, and V_2 = 9 L, therefore

T_2 = V_2/V_1 * T_1 = 9/4.5 * 298.15 = 596.4K -> double the volume translates to double the temperature, and vice versa.

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