Question

You have 56.8 mL of a gas collected at 664 mmHg and 135 K. What volume will it occupy at 632 mmHg and 196 K? *

Answer 1

Answer:

86.6 mL

Explanation:

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

Initial volume (V₁) = 56.8 mL

Initial pressure (P₁) = 664 mmHg

Initial temperature (T₁) = 135 K

Final pressure (P₂) = 632 mmHg

Final temperature (T₂) = 196 K

Final volume (V₂) =?

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

P₁V₁/T₁ = P₂V₂/T₂

664 × 56.8 / 135 = 632 × V₂ / 196

Cross multiply

135 × 632 × V₂ = 664 × 56.8 × 196

85320 × V₂ = 7392179.2

Divide both side by 85320

V₂ = 7392179.2 / 85320

V₂ = 86.6 mL

Therefore, the final volume of the gas is 86.6 mL