At constant temperature on increasing the pressure of a gas by 10 % , its volume will decrease by

Question

At constant temperature on increasing the pressure of a gas by 10 % , its volume will decrease by, 9.09 %, 10 %, 5 %, 20 %

MARKS App · Accepted Answer

Since, we know, p ∝ 1 V ∴ p 1 p 2 = V 2 V 1 ⇒ p 2 = 110 100 p 1 (given) ∴ V 1 V 2 = p 2 p 1 = 110 100 ⇒ V 2 = 100 110 V 1 ∴ Change in volume, Δ V = V 2 - V 1 = 100 110 V 1 - V 1 = V 1 100 - 110 110 = - 10 V 1 110 Negative sign means volume is decreased. ∴ Δ V V 1 × 100 = 10 110 × 100 = 9.09 %

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