Answer:
676 L
Step-by-step explanation:
From the question given above, the following data were obtained:
Initial volume (V₁) = 800 L
Initial temperature (T₁) = 23 °C = 23 + 273 = 296 K
Initial pressure (P₁) = 300 torr
Final temperature (T₂) = 227 °C = 227 + 273 = 500 K
Final pressure (P₂) = 600 torr
Final volume (V₂) =?
The final volume of the gas can be obtained as follow:
P₁V₁/T₁ = P₂V₂/T₂
300 × 800 / 296 = 600 × V₂ / 500
240000 / 296 = 600 × V₂ / 500
Cross multiply
296 × 600 × V₂ = 240000 × 500
177600 × V₂ = 12000000
Divide both side by 177600
V₂ = 12000000 / 177600
V₂ = 675.68 L
V₂ ≈ 676 L
Thus, the final volume of gas is 676 L