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MHT CET 202626 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
26 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

MHT CET 2026 · 26 April · Morning Shift · Chemistry · Thermodynamics (C)

The relationship between Δ H and Δ U for the reaction, PCl_3(g) +...

The relationship between ΔH\Delta H and ΔU\Delta U for the reaction, PCl3(g)+Cl2(g)→PCl5(g)\text{PCl}_3(g) + \text{Cl}_2(g) \rightarrow \text{PCl}_5(g) is given as

Options

  1. AΔH=ΔU+2RT\Delta H = \Delta U + 2RT
  2. BΔH=ΔU−2RT\Delta H = \Delta U - 2RT
  3. CΔH=ΔU+RT\Delta H = \Delta U + RT
  4. DΔH=ΔU−RT\Delta H = \Delta U - RT

Correct answer

D. ΔH=ΔU−RT\Delta H = \Delta U - RT

Step-by-step solution

The given reaction is PCl3(g)+Cl2(g)→PCl5(g)\text{PCl}_3(g) + \text{Cl}_2(g) \rightarrow \text{PCl}_5(g)

The relationship between enthalpy change (\Delta H)andinternalenergychange(ΔU) and internal energy change (\Delta U) is given by the equation:

ΔH=ΔU+ΔngRT\Delta H = \Delta U + \Delta n_g RT

where Δng\Delta n_g is the change in the number of moles of gaseous species.

Δng=moles of gaseous products−moles of gaseous reactants\Delta n_g = \text{moles of gaseous products} - \text{moles of gaseous reactants}

Δng=1−(1+1)=−1\Delta n_g = 1 - (1 + 1) = -1

Substituting Δng=−1\Delta n_g = -1 in the equation, we get:

ΔH=ΔU−RT\Delta H = \Delta U - RT

Answer: ΔH=ΔU−RT\Delta H = \Delta U - RT
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