A gas sample occupies 4.2 L at a pressure of 101 kPa.

What volume will it occupy if the pressure is increased to 235 kPa?

9.8 L

1.8 L

3.2 L

7.4 L

1.8 L

Explanation:

Given data:

Initial volume of gas = 4.2 L

Initial pressure of gas = 101 kpa

Final volume of gas = ?

Final pressure of gas = 235 kpa

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

101 kpa × 4.2 L = 235 kpa × V₂

V₂ = 424.2 kpa . L/ 235 kpa

V₂ = 1.8 L

So when pressure is increased the volume of gas becomes 1,8 L.

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