A cylinder, with a piston pressing down with a constant pressure, is filled with 1.90 moles of a gas (n1), and its volume is 40.0 L (V1). If 0.400 mole of gas leak out, and the pressure and temperature remain the
same, what is the final volume of the gas inside the cylinder?

31.58 L

Explanation:

From the question given above, the following data were obtained:

Initial mole (n₁) of gas = 1.90 moles

Initial volume (V₁) = 40 L

Final mole (n₂) = 1.90 – 0.40 = 1.5 moles

Final volume (V₂) =.?

The final volume of the gas can be obtained as follow;

V₁ / n₁ = V₂ / n₂

40 / 1.9 = V₂ / 1.5

Cross multiply

1.9 × V₂ = 40 × 1.5

1.9 × V₂ = 60

Divide both side by 1.9

V₂ = 60 / 1.9

V₂ = 31.58 L

Thus, the final volume of the gas is 31.58 L

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