Question

If nitrogen at 130 kPa is allowed to expand at constant temperature until its pressure is 145.5 kPa, how much larger will the volume become?

Answer 1

0.89 times

Step-by-step explanation:

Let the initial volume of the tank be V.

Finally, we shall determine how much larger the final volume of the gas will be. This is illustrated below:

Initial pressure (P₁) = 130 kPa

Initial volume (V₁) = V

Final pressure (P₂) = 145.5 kPa

Final volume (V₂) =?

P₁V₁ = P₂V₂

130 × V = 145.5 × V₂

130V = 145.5 × V₂

Divide both side by 145.5

V₂ = 130V / 145.5

V₂ = 0.89V

Therefore, the final volume of gas will be 0.89 times the initial volume.