Answer:
86.6 mL
Step-by-step 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