Answer:
V₂ = 90.42 L
Explanation:
Given data:
Initial volume = 21.4 L
Initial pressure = 681 mmHg (681/760=0.89 atm)
Initial temperature = 42.3 °C (42.3 +273 = 315.3 K)
Final temperature = 221°C (221+273 = 494 K)
Final volume = ?
Final pressure = 248 mmHg(248/760 =0.33 atm)
Formula:
P₁V₁/T₁ = P₂V₂/T₂
P₁ = Initial pressure
V₁ = Initial volume
T₁ = Initial temperature
P₂ = Final pressure
V₂ = Final volume
T₂ = Final temperature
Solution:
P₁V₁/T₁ = P₂V₂/T₂
V₂ = P₁V₁T₂/T₁P₂
V₂ = 0.89 atm × 21.4 L × 494 K / 315.3 K × 0.33 atm
V₂ = 9408.72 L /104.05
V₂ = 90.42 L
