Q71 / 90 · JEE Main 2023 (08 Apr Shift 1) · Physics

Given below are two statements:

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

  • A
    Statement I is true but Statement II is false
  • B
    Both Statement I and Statement II are false
  • C
    Both Statement I and Statement II are true
  • Correct answer
    D
    Statement I is false but Statement II is true

Solution

If heat energy is added to a thermodynamic system, one part increases the internal energy and the other part performs some work.

If heat is added to a system, the system can do work without changing its internal energy. Hence, statement 1 is false.

The formula to calculate the work done is given by

W=∫PdV

From the above equation, it can be concluded that if W>0, i.e., work is done by the system, its volume must increase. Hence, statement II is true.

Hence, the correct answer is option: 'D'.

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