Question

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

Answer 1

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.