Question

When a piston is pushed down on a cylinder, the pressure on the gas in the cylinder increases from 125 kPa to 375 kPa. The initial volume is 3.3 L. What is the final volume?

Answer 1

The final volume is 1.1 L.

Step-by-step explanation:

Given data:

Initial pressure of gas = 125 KPa

Final pressure of gas = 375 KPa

Initial volume = 3.3 L

Final volume = ?

Solution:

The given problem will be solved through the Boly'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

125 Kpa × 3.3 L = 375 Kpa × V₂

V₂ = 412.5 KPa. L/375 Kpa

V₂ = 1.1 L

The volume of gas is reduced to the 1.1 L because of increasing pressure.