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Thermodynamics question

2017 · Shift 0 · Q21
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Thermodynamics question

2017 · Shift 0 · Q21

JEE MainChemistryThermodynamicsMCQ+4 / −1
Δ\DeltaΔ U is equal to :
  1. A
    Isobaric work
  2. B
    Adiabatic work
  3. C
    Isothermal work
  4. D
    Isochoric work
View written solutionFree

Correct answer: B

  1. First law of thermodynamics

    ΔU=q+w\Delta U = q + wΔU=q+w

    where:

    • ΔU\Delta UΔU = change in internal energy
    • qqq = heat supplied to the system
    • www = work done on the system

  2. Condition for adiabatic process

    In an adiabatic process, q=0q = 0q=0

    Therefore, from the first law: ΔU=w\Delta U = wΔU=w

    So, the change in internal energy is equal to the adiabatic work.

  3. Check other options

    • A: Isobaric work — not always equal to ΔU\Delta UΔU
    • B: Adiabatic work — correct, since for adiabatic process q=0q=0q=0, so ΔU=w\Delta U = wΔU=w
    • C: Isothermal work — for an ideal gas in isothermal process, ΔU=0\Delta U = 0ΔU=0, so not equal to work in general
    • D: Isochoric work — at constant volume, w=0w=0w=0, so ΔU=q\Delta U = qΔU=q, not work

  4. Final answer

    B: Adiabatic work\boxed{\text{B: Adiabatic work}}B: Adiabatic work​

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