JEE Main · 2019 · Shift-IeasyTHERMO-003

Among the following, the set of parameters that represents path functions is: (i) q + w  &nbsp (ii) q  &nbsp…

Thermodynamics · Class 11 · JEE Main Previous Year Question

Question

Among the following, the set of parameters that represents path functions is: (i) q+wq + w  &nbsp (ii) qq  &nbsp (iii) ww  &nbsp (iv) HTSH - TS

Options
  1. a

    (ii) and (iii)

  2. b

    (i), (ii), and (iii)

  3. c

    (ii), (iii) and (iv)

  4. d

    (i) and (iv)

Correct Answera

(ii) and (iii)

Detailed Solution

🧠 Path functions qq and ww depend on the route taken qq (heat) and ww (work) both change depending on how a process is carried out — they are path functions. Their sum q+w=ΔUq + w = \Delta U is a state function (First Law). HTS=GH - TS = G (Gibbs energy) is also a state function.

So only (ii) qq and (iii) ww are path functions → option (a).

⚠️ Don't be misled by (i): q+wq + w equals ΔU\Delta U, which is a state function — even though each individual term is a path function.

Answer: (a)\boxed{\text{Answer: (a)}}

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Among the following, the set of parameters that represents path functions is: (i) q + w  &nbsp… (JEE Main 2019) | Canvas Classes