Answer:
V₂ = 24785.5 mL.
Explanation:
Given data:
Initial volume of hydrogen gas = 37.49 mL
Initial temperature = 22.0°C (22 + 273 = 295 K)
Initial pressure = 714.4 atm
Final temperature = 273 K
Final pressure = 1 atm
Final volume of hydrogen gas = ?
Solution;
Formula:
P₁V₁/T₁ = P₂V₂/T₂
P₁ = Initial pressure
V₁ = Initial volume
T₁ = Initial temperature
P₂ = Final pressure
V₂ = Final volume
T₂ = Final temperature
V₂ = P₁V₁T₂ /T₁ P₂
V₂ = 714.4 atm × 37.49 mL × 273 K / 295 K × 1 atm
V₂ = 7311719.7 mL / 295
V₂ = 24785.5 mL.