Question

A gas has a pressure of 65.0 mmHg at 740K. What will be the pressure at 300K if the

volume does not change?

Answer 1

26.35 mmHg

Step-by-step explanation:

Given data:

Initial pressure = 65.0 mmHg

Initial temperature = 740 K

Final temperature = 300 K

Final pressure = ?

Solution:

According to Gay-Lussac Law,

The pressure of given amount of a gas is directly proportional to its temperature at constant volume and number of moles.

Mathematical relationship:

P₁/T₁ = P₂/T₂

Now we will put the values in formula:

65 mmHg / 740 K = P₂/300 K

P₂ = 65 mmHg× 300 K / 740 K

P₂ = 19500 mmHg. K /740 K

P₂ = 26.35 mmHg