Question

A gas has a volume of 10 liters under a pressure of 745 mm of Hg.

What will the volume be at 720 mm pressure if the temperature
remains the same?
Show work.

Answer 1

Volume is 10.35 L

Step-by-step explanation:

we are given;

• Initial volume v₁ is 10 L
• Initial pressure, P₁ as 745 mmHg
• New pressure ,P₂ as 720 mmHg

We are required to determine the new volume, V₂

We are going to use the Boyle's law;

According to Boyle's law the volume and the pressure of a fixed mass of a gas are inversely proportional at a constant temperature.

Therefore;

P₁α 1/V

That is;

P = k/V

k = PV

At different conditions;

P₁V₁ = P₂V₂

Rearranging the formula;

V₂ = P₁V₁ ÷ P₂

Thus;

New volume = (10 L× 745 mmHg) ÷ 720 mmHg

= 10.35 L

Thus, the new volume of the gas at the new pressure is 10.35 L