Basic Maths and Units and DimensionsHard

Question

A gas is filled in a cylinder, its temperature is increased by 20% on kelvin scale and volume is reduced by 10%. How much percentage of the gas will leak out at constant pressure :-

Options

A.30%
B.40%
C.15%
D.25%

Solution

Let initial conditions = V,T
and final conditions = V′,T′
By Charle′s law V ∝ T [P remains constant]
⇒ V′ = 1.2 V
But as per question, volume is reduced by 10% means V′ = 0.9 V
So percentage of volume leaked out
= × 100 = 25%

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