Answer:
V₂ = 33.32 L
Step-by-step explanation:
Given data:
Initial volume = 27.7 L
Initial pressure = 70692 torr
Final pressure = 58775 torr
Final volume = ?
Solution:
The given problem will be solved through the Boyle's law,
"The volume of given amount of gas is inversely proportional to its pressure by keeping the temperature and number of moles constant"
Mathematical expression:
P₁V₁ = P₂V₂
P₁ = Initial pressure
V₁ = initial volume
P₂ = final pressure
V₂ = final volume
Now we will put the values in formula,
P₁V₁ = P₂V₂
70692 torr × 27.7 L = 58775 torr × V₂
V₂ = 1958168.4 torr.L/ 58775 torr
V₂ = 33.32 L