Answer:
V₂ = 12.5 mL
Explanation:
Given data:
Initial volume = 100.0 mL
Initial pressure = 50.0 KPa
Final volume = ?
Final pressure = 400.0 KPa
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
50.0 KPa × 100.0 mL = 400 KPa × V₂
V₂ = 5000 KPa.mL/ 400 KPa
V₂ = 12.5 mL
