MHT CET202522 Apr 2025Morning ShiftChemistryChemical KineticsActual
Nitric oxide reacts with H ₂ according to reaction. 2 NO _ ( g ) +2 H _ 2( ~g ) N _ 2( ~g ) +2 H ₂ O _ ( g ) , identify correct relation for disappearance of reactant and appearance of product.
Options
- A1 2 ~d [ NO ] dt =- d [ H ₂ ] dt
- Bd [ N ₂ ] dt = 1 2 ~d [ H ₂ O ] dt
- C- d [ N ₂ ] dt = 1 2 ~d [ H ₂ O ] dt
- Dd [ H ₂ ] dt =- 1 2 ~d [ ~N ₂ ] dt
Correct answer
B. d [ N ₂ ] dt = 1 2 ~d [ H ₂ O ] dt
Step-by-step solution
Rate of Reaction Analysis For the reaction 2 NO _ (g) + 2 H _ 2(g) N _ 2(g) + 2 H ₂ O _ (g) , the general rate expression is derived from stoichiometry: - 1 2 d [ NO ] d t = - 1 2 d [ H ₂] d t = + 1 1 d [ N ₂] d t = + 1 2 d [ H ₂ O ] d t The relation d [ N ₂] d t = 1 2 d [ H ₂ O ] d t corresponds directly to the equality + 1 1 d [ N ₂] d t = + 1 2 d [ H ₂ O ] d t from the rate expression. Other options contain incorrect signs or coefficients that violate the stoichiometric relationships. Final answer: B