Asample of hydrogen gas at a temperature of 40 k changes its volume from 50 liters to 30 liters. what is the new temperature after the reduction in volume?

Answer : new temperature after the reduction in volume is 24 K.

Explanation;

To find out the new temperature, we can use Charle's law.

Charle's law says "at a constant pressure, the volume of a fixed amount of gas is directly proportional to its absolute temperature".

V α T

Where V is the volume and T is the temperature in Kelvin of the gas. We can use this for two situations as,

V₁/T₁ = V₂/T₂

V₁ = 50 L

T₁ = 40 K

V₂ = 30 L

T₂ = ?

By applying the formula,

50 L / 40 K = 30 L / T₂

T₂ = (30 L / 50 L) x 40 K

T₂ = 24 K

Hence, the new temperature of the gas is 24 K.

To use Charle's law we have to make two assumptions. They are

- The gas has an ideal gas behavior.

- Pressure of the gas remains constant.