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Heat and Thermodynamics question

2023 · 8 Apr · Shift 1 · Q54
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  5. /2023 · 8 Apr · Shift 1 · Q54

Heat and Thermodynamics question

2023 · 8 Apr · Shift 1 · Q54

JEE MainPhysicsHeat and ThermodynamicsMCQ+4 / −1
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
  1. A
    Both Statement I and Statement II are true
  2. B
    Statement I is false but Statement II is true
  3. C
    Statement I is true but Statement II is false
  4. D
    Both Statement I and Statement II are false
View written solutionFree

Correct answer: B

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

    This statement is false.

    Heat added to a system does not always raise its temperature. For example:

    • During a phase change (like melting or boiling), heat is absorbed but temperature remains constant.
    • Heat may also go into doing work or changing internal configuration.

    So, temperature does not must increase whenever heat is added.

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

    In standard thermodynamics, the work done by a system is

    dW=P dVdW = P\,dVdW=PdV

    For positive work done by the system,

    dW>0  ⟹  dV>0dW > 0 \implies dV > 0dW>0⟹dV>0

    assuming mechanical P dVP\,dVPdV work.

    Thus, positive work by the system corresponds to expansion, so volume must increase.

    Therefore, Statement II is true.

  3. Conclusion:

    • Statement I: False
    • Statement II: True

    Hence, the correct option is B.

  4. Comparison with stored answer:

    Stored correct answer = B

    Our derived answer = B

    They agree.

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