At constant temperature,a gas is at a pressure of 540mm of Hg.At what pressure its volume decreases by 60%

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Solution

According to the Boyel's Law: At constant temperature, the product of pressure and volume of a fixed amount of a gas is constant. Also, if at constant temperature,

V ₁= Volume of a gas at pressure P₁

V ₂= Volume of the same gas at pressure P₂

Then,
P₁V₁ = P₂V₂
According to question:
P₁ = 540 mm Hg
Let V₁ = 100 L
P₂ = ?
V₂ = Volume is 60% lesser than V1 = 100-60 = 40 L
So P₂ = P₁V₁/ V₂
= 540 mm Hg x 100 L/40 L
= 1350 mm Hg

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