Statement I: If heat is added to a system, its temperature must increase. [2023]

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Solution

Q.
Given below are two statements: [2023]

Statement I: If heat is added to a system, its temperature must increase.

Statement II: If positive work is done by a system in a thermodynamic process, its volume must increase.

In the light of the above statements, choose the correct answer from the options given below:

1 Both Statement I and Statement II are true

2 Statement I is false but Statement II is true

3 Both Statement I and Statement II are false

4 Statement I is true but Statement II is false

Ans.
(2)

$Statement I: Δ Q > 0$

According to the first law of thermodynamics,

$Δ Q = Δ U + W$

If $Δ Q > 0$ , $Δ U < 0$ and $W > 0$ is also possible.

Hence $Δ T < 0$ , so temperature decreases.

$Statement I is false$

$Statement II: W > 0$

$∴$ $\int P d V > 0$

Therefore, volume of the system must increase during positive work done by the system.

$Statement II is true$

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