Question

a sample of helium gas has a volume of 1.00 l. what is the final volume if both the pressure and kelvin temperature each double?

Answer 1

Since the helium gas has a volume of 1.00 L, the final volume of the helium gas is 1.00 L

To find the volume, we need to know the general gas law.

What is the general gas law?

The general gas law is given by P₁V₁/T₁ = P₂V₂/T₂ where

• P₁ = initial pressure of gas,
• V₁ = initial volume of gas,
• T₁ = initial temperature of gas in Kelvin,
• P₂ = final pressure of gas,
• V₁ = final volume of gas, and
• T₁ = final temperature of gas in Kelvin

Final volume of helium gas

So, making V₂ subject of the formula, we have

V₂ = P₁V₁T₂/T₁P₂

Since the sample of helium gas has a volume of 1.00 L and both the pressure and kelvin temperature each double, we need to find its final volume.

So,

• P₂ = 2P₁,
• T₂ = 2T₁ and
• V₁ = 1.00 L

So, substituting the values of the variables into the equation, we have

V₂ = P₁V₁T₂/T₁P₂

V₂ = P₁V₁ × 2T₁/T₁ × 2P₁

V₂ = V₁

V₂ = 1.00 L

So, the final volume of the helium gas is 1.00 L

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