Question

A container with insulating walls is divided into two equal parts by partition fitted with a valve . one part is filled with an an ideal gas at pressure p and temprature T , whereas the other part is completely evacuated .if the valve is suddenly opened , the pressure and temprature of the gas will be [AIEEE 2011]

(a) p/2 , T
(b) p/2 ,T/2
(c) p, T
(d) p , T/2 ​

Answer 1

Answer:

P1V1 = P2V2

P2 = P1V1 / V2

= P(V/2)/V

= P/2

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Answer 2

Explanation:- Internal energy of the gas remains constant , hence, T₂ = T

using at constant temprature , p₁ v₁ = p₂v₂

half volume will be no more

∵valve is opened in other part

∴ p₂ = p/2 .

Hence, option (a) is correct