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Thermodynamics question

2010 · Shift 1 · Q3
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Thermodynamics question

2010 · Shift 1 · Q3

JEE AdvancedChemistryThermodynamicsMultiple correct+3 / −0.75
Among the following, the intensive property is (properties are)
  1. A
    molar conductivity
  2. B
    electromotive force
  3. C
    resistance
  4. D
    heat capacity
View written solutionFree

Correct answer: A, B

  1. Recall the definition of an intensive property

    An intensive property does not depend on the amount of substance or size of the system.

    Examples: temperature, pressure, density.

    An extensive property depends on the amount of substance.

    Examples: mass, volume, heat capacity.

  2. Check each option one by one

    Option A: Molar conductivity

    Molar conductivity is defined as Λm=κ×1000C\Lambda_m = \frac{\kappa \times 1000}{C}Λm​=Cκ×1000​ where κ\kappaκ is conductivity and CCC is concentration.

    It is a property per mole and does not depend on the total amount of solution taken, so it is treated as an intensive property.

    Hence, A is correct.

    Option B: Electromotive force (emf)

    emf is the potential difference of a cell under open-circuit condition.

    Cell potential does not depend on how much of the substance is present, as long as the concentrations remain the same. Therefore, it is an intensive property.

    Hence, B is correct.

    Option C: Resistance

    Resistance is given by R=ρlAR = \rho \frac{l}{A}R=ρAl​ where ρ\rhoρ is resistivity, lll is length, and AAA is cross-sectional area.

    Since resistance depends on the dimensions of the conductor, it depends on system size and is therefore not intensive.

    Hence, C is incorrect.

    Option D: Heat capacity

    Heat capacity is C=dqdTC = \frac{dq}{dT}C=dTdq​

    It depends on the amount of substance. More material means greater heat capacity.

    So heat capacity is an extensive property.

    Hence, D is incorrect.

  3. Final answer

    The intensive properties are: A, B\boxed{A,\ B}A, B​

  4. Comparison with stored correct answer

    Stored correct answer: A, B

    My derived answer matches the stored answer.

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