Question

The absolute temperature of a fixed mass of ideal gas is tripled while its volume remains constant. The ratio of the final pressure of the gas to its initial pressure is

Answer 1

Answer:

3 : 1

Explanation:

The following data were obtained from the question:

Initial temperature (T₁) = T

Initial pressure (P₁) = P

Final temperature (T₂) = 3T

Final pressure (P₂) =..?

Since the volume is constant, we shall use the following formula P₁ /T₁ = P₂ /T₂ to obtain the final pressure. This is illustrated below:

P₁ /T₁ = P₂ /T₂

P/T = P₂ /3T

Cross multiply

T × P₂ = P × 3T

Divide both side by T

P₂ = P × 3T /T

P₂ = P × 3

P₂ = 3P

Therefore, the final pressure is tripled.

Finally, we shall determine the ratio of the final pressure to the initial pressure as follow:

Initial pressure (P₁) = P

Final pressure (P₂) = 3P

Final pressure (P₂) : Initial pressure (P₁)

P₂ : P₁ => 3P/P

P₂ : P₁ => 3 : 1

Therefore, the ratio of the final pressure to the initial pressure is 3 : 1