A sample 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?

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.

Assumption made - The gas has an ideal gas behavior.

Pressure of the gas remains constant.