A 200 L of gas contained in a vessel under a pressure of 850 atm. What will be the new volume if the gas is changed to 1000 atm?

170 L

Explanation:

Boyles laws states that the pressure exerted by a gas is directly proportional to the volume it occupies provided that the temperature is held constant. Boyles law is given by:

PV = constant

P₁V₁ = P₂V₂

Given that the initial volume V₁ = 200 L, initial pressure P₁ = 850 atm, final volume V₂ = 1000 atm and final pressure = P₂.

Applying Boyles law gives:

P₁V₁ = P₂V₂

850(200) = 1000(V₂)

V₂ = 170 L

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