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AP EAMCET · Chemistry · Thermodynamics (C)

Identify the correct equation relating \(\Delta H, \Delta U\) and \(\Delta T\) for 1 mole of an ideal gas from the following ( \(\mathrm{R}=\) gas constant)

  1. A \((\Delta H)^2=\Delta U+R \Delta T\)
  2. B \(\Delta \mathrm{H}=(\Delta \mathrm{U})^2+\mathrm{R} \Delta \mathrm{T}\)
  3. C \(\Delta \mathrm{U}=\Delta \mathrm{H}-\mathrm{R} \Delta \mathrm{T}\)
  4. D \(\Delta \mathrm{U}=\Delta \mathrm{H}+\mathrm{R} \Delta \mathrm{T}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\Delta \mathrm{U}=\Delta \mathrm{H}-\mathrm{R} \Delta \mathrm{T}\)

Step-by-step Solution

Detailed explanation

Relation between \(\Delta \mathrm{H}\) and \(\Delta \mathrm{U}\) is \(\Delta \mathrm{H}=\Delta \mathrm{U}+\Delta \mathrm{n}_{\mathrm{g}} \mathrm{RT}\) or, \(\Delta \mathrm{U}=\Delta \mathrm{H}-\Delta \mathrm{n}_{\mathrm{g}} \mathrm{RT}\) for 1 mole,…