Answer:
The new volume of gas is 25.7 L.
Explanation:
Given data:
Initial volume = 24.0 L
Initial pressure = 10.0 atm
Initial temperature = 200 K
Final temperature = 300 K
Final volume = ?
Final pressure = 14.0 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:
V₂ = P₁V₁ T₂/ T₁ P₂
V₂ = 10.0 atm × 24.0 L × 300K / 200 K × 14.0 atm
V₂ = 72000 atm .L. K / 2800 K.atm
V₂ = 25.7 L
The new volume of gas is 25.7 L.
