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Physics Thermodynamics Mix MCQ (Single Correct)

An ideal gas is enclosed in a vessel at initial pressure P 0 and volume V 0 , Temp T 0 . It is found that due to leakage gas is escaping from the vessel at a rate such that = – αP, α is positive constant where is the rate of change of moles, then choose the correct alternative -

A
Pressure in the vessel after a long time becomes zero
B
Pressure in the vessel decreases to half of its initial value after a time λ n(2)
C
At t = ; Pressure in the vessel is
D
At t = ; Pressure in the vessel is

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The correct answer is:
CHECK THE SOLUTION.

(a, b, c)

V 0 (dP)= (dn) RT 0 .... (i)

= – αP ...(ii)

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