Answer:
V₂ = 0.28 L
Explanation:
Given data:
Initial volume = 1.00 L
Initial pressure = 790 torr (790/760 = 1 atm)
Initial temperature = 1.0 °C (1.0 +273 = 274 K)
Final temperature = 310°C (310+273 = 583 K)
Final volume =?
Final pressure = 5837 torr (5837/760 = 7.7 atm)
Solution:
According to general gas equation:
P₁V₁/T₁ = P₂V₂/T₂
Formula:
P₁V₁/T₁ = P₂V₂/T₂
P₁ = Initial pressure
V₁ = Initial volume
T₁ = Initial temperature
P₂ = Final pressure
V₂ = Final volume
T₂ = Final temperature
Now we will put the values in formula.
V₂ = P₁V₁ T₂/ T₁ P₂
V₂ = 1 atm × 1.0 L × 583 k / 274 k × 7.7 atm
V₂ = 583 / 2109.8
V₂ = 0.28 L