Which one of the following equations does not correctly represent the first law of thermodynamics for the given processes involving an ideal gas? (Assume non- expansion work is zero)

• A

  Isochoric process : $\mathrm{\Delta }\mathrm{U}=\mathrm{q}$
• B

  Isochoric process : $\mathrm{q}=\mathrm{ }–\mathrm{w}$
• C

  Cyclic process : $\mathrm{q}=\mathrm{ }–\mathrm{w}$
• Correct answer
  D

  Adiabatic process : $\mathrm{\Delta }\mathrm{U}=-\mathrm{w}$

Hence, the correct answer is option: 'D'.