Question

The pressure of a sample of gas increases from 450 mmHg to 500 mmHg. If the volume is constant and the temperature of the gas was 0.0 °C, what is the new gas temperature?

A) 0.0 °C
B) 50 °C
C) 100 °C
D) 500 °C

Answer 1

According to Gay-Lussac's law, the pressure of a gas is directly proportional to its temperature at constant volume. Therefore, the new temperature of the gas is 500 °C.

Step-by-step explanation:

According to Gay-Lussac's law, at constant volume, the pressure of a gas is directly proportional to its temperature. This can be expressed as P/T = constant.

In this case, the initial pressure is 450 mmHg and the initial temperature is 0.0 °C. To find the new temperature, we can set up the following equation:

(450 mmHg)/(0.0 °C) = (500 mmHg)/(T)

Simplifying the equation, we find T = 500 °C.