Question

The initial volume of a gas cylinder is 750 ml if the pressure of a gas inside the cylinder changes from 840 mm hg to 360 mm hg

Answer 1

V₂ = 1750 mL

Step-by-step explanation:

Given data:

Initial volume = 750 mL

Initial pressure = 840 mmHg

Final pressure = 360 mmHg

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

840 mmHg × 750 mL = 360 mmHg × V₂

V₂ = 630,000 mmHg.mL/360 mmHg

V₂ = 1750 mL