Question

1.

A gas sample has a volume of 300.0 L when under a pressure of 55.0 kPa. What is the new volume if the
pressure is increased to 165 kPa while the temperature is held constant?

Answer 1

V₂ = 100 L

Step-by-step explanation:

Given data:

Initial volume = 300.0 L

Initial pressure = 55.0 KPa

Final volume = ?

Final pressure = 165 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

55 KPa × 300 L = 165 KPa× V₂

V₂ = 55 KPa × 300 L / 165 KPa

V₂ = 16500 KPa.L/165 KPa

V₂ = 100 L