Given below are two statemets. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In an insulated container, a gas is adiabatically shunk to half of its initial volume. The temperature of the gas decreases. Reason

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

Q.
Given below are two statemets. 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 statements, choose the correct answer from the options given below: [2025]

1 Both (A) and (R) are true and (R) is the correct explanation of (A)

2 (A) is true but (R) is false

3 (A) is false but (R) is true

4 Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

Ans.
(3)

(A) : $T_{1} V_{1}^{γ - 1} = T_{2} V_{2}^{γ - 1}$

Temperature increases when volume decreases.

(R) : Free expansion is assumed fast, so the pressure is adiabatic.

Solution

1 Both (A) and (R) are true and (R) is the correct explanation of (A)

2 (A) is true but (R) is false

3 (A) is false but (R) is true

4 Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

Ans.
(3)

(A) : $T_{1} V_{1}^{γ - 1} = T_{2} V_{2}^{γ - 1}$

Temperature increases when volume decreases.

(R) : Free expansion is assumed fast, so the pressure is adiabatic.

Want Us to Email you About Special Offers & Updates?

Solution

1 Both (A) and (R) are true and (R) is the correct explanation of (A)

2 (A) is true but (R) is false

3 (A) is false but (R) is true

4 Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

Ans. (3) (A) : T1V1γ–1=T2V2γ–1 Temperature increases when volume decreases. (R) : Free expansion is assumed fast, so the pressure is adiabatic.

Want Us to Email you About Special Offers & Updates?

Ans.
(3)

(A) : $T_{1} V_{1}^{γ - 1} = T_{2} V_{2}^{γ - 1}$

Temperature increases when volume decreases.

(R) : Free expansion is assumed fast, so the pressure is adiabatic.