The volume of a gas at 6.0 atm is 2.5 l. what is the volume of the gas at 7.5 atm at the same temperature?

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24-08-2022
Physics

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The volume of a gas at 6.0 atm is 2.5 l. what is the volume of the gas at 7.5 atm at the same temperature?

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uzairteacher uzairteacher · Answer 1 · 2022-08-29T05:33:18-04:00

Boyle's law states that "the volume V and pressure P of a given quantity of gas is inversely proportional to each other if the temperature remains constant".

Boyle's law is expressed as;

P₁V₁ = P₂V₂

Given data:

Initial Volume V₁ = 2.5L

Initial pressure P₁ = 6.0atm

Final pressure P₂ = 7.5atm

Final volume V₂ = ?

We will substitute the values in the above expression to determine the final volume of the gas.

P₁V₁ = P₂V₂

V₂ = P₁V₁ / P₂

V₂ = ( 6.0 × 2.5 ) / 7.5

V₂ = 15 / 7.5

V₂ = 2.0L

Hence, the volume of the gas decreases to 2.0L.

If you need to learn more about the relation between volume and pressure click here:

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