Given below are two statements. One is labelled as Assertion (A) … - Vidyadip

MCQ

Given below are two statements. One is labelled as
Assertion (A) and the other is labelled as Reason(R).
Assertion (A) : In an insulated container, a gas is adiabatically shrunk to half of its initial volume. The temperature of the gas decreases.
Reason (R) : Free expansion of an ideal gas is an irreversible and an adiabatic process.
In the light of the above statement, choose the correct answer from the options given below :

A
Both (A) and (R) are true and (R) is the correct explanation of (A)
B
(A) is true but (R) is false
✓
(A) is false but ( R ) is true
D
Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

✓

Answer

Correct option: C.

(A) is false but ( R ) is true

(C) (A) is false but ( R ) is true
Sol. (A) $T _1 V_1^{\gamma-1}= T _2 V_2^{\gamma-1}$
Temp increases
R) Free expansion is assumed fast, so Adiabatic

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