JEE Main · 2020 · Shift-IIeasyTHERMO-060

The true statement amongst the following is:

Thermodynamics · Class 11 · JEE Main Previous Year Question

Question

The true statement amongst the following is:

Options
  1. a

    Both ΔS\Delta S and SS are functions of temperature.

  2. b

    Both SS and ΔS\Delta S are not functions of temperature.

  3. c

    SS is not a function of temperature but ΔS\Delta S is.

  4. d

    SS is a function of temperature but ΔS\Delta S is not.

Correct Answera

Both ΔS\Delta S and SS are functions of temperature.

Detailed Solution

🧠 Both SS and ΔS\Delta S depend on temperature — entropy is not a constant Absolute entropy SS is defined via S=0TCpTdTS = \int_0^T \frac{C_p}{T}\,dT, which clearly depends on TT. Entropy change ΔS=S(products)S(reactants)\Delta S = \sum S^\circ(\text{products}) - \sum S^\circ(\text{reactants}) — since each SS^\circ depends on TT, so does ΔS\Delta S.

Options (b), (c), (d) all claim that either SS or ΔS\Delta S is independent of temperature — all three are wrong.

Only (a) is correct: both SS and ΔS\Delta S are functions of temperature.

⚠️ Trap: Students sometimes think ΔS\Delta S is constant because ΔH\Delta H and ΔG\Delta G are often tabulated at 298 K. Those are just reference values — both entropy quantities change with temperature in general.

Answer: (a)\boxed{\text{Answer: (a)}}

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