Answer:
V₂ = 1473.03 L
Step-by-step explanation:
Given data:
Initial volume = 980 L
Initial pressure = 107.2 atm
Initial temperature = 71 °C (71 +273.15 = 344.15 K)
Final temperature = 13°C (13+273.15 = 286.15K)
Final volume = ?
Final pressure = 59.3 atm
Formula:
P₁V₁/T₁ = P₂V₂/T₂
Solution:
V₂ = P₁V₁ T₂/ T₁ P₂
V₂ = 107.2 atm × 980L × 286.15 K / 344.15 K× 59.3 atm
V₂ = 30061774.4 atm .L. K / 20408.095 atm. K
V₂ = 1473.03 L