Calculate the new volume if a 13.40 L of a gas at a pressure of 1.51 atm is subject to a new pressure of 65 mmHg.

V₂ = 238.05 L

Explanation:

Given data:

Final volume = ?

Initial volume = 13.40 L

Initial pressure = 1.51 atm

Final pressure = 65 mmHg ( 65/760 = 0.085 atm)

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

1.51 atm × 13.40 L = 0.085 atm × V₂

V₂ = 1.51 atm × 13.40 L /  0.085 atm

V₂ = 238.05 L

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