MHT CET202522 Apr 2025Evening 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 the correct relationship for consumption of reactant and formation of product.
Options
- A1 2 ~d [ NO ] dt =- d [ H ₂ ] dt
- Bd [ N ₂ ] dt =- 1 2 ~d [ H ₂ ] dt
- Cd [ H ₂ O ] dt = d [ N ₂ ] dt
- Dd [ H ₂ O ] dt = 1 2 ~d [ ~N ₂ ] dt
Correct answer
B. d [ N ₂ ] dt =- 1 2 ~d [ H ₂ ] dt
Step-by-step solution
The balanced chemical equation is 2 NO _ (g) + 2 H _ 2(g) N _ 2(g) + 2 H ₂ O _ (g) . The rate expression for a general reaction aA + bB cC + dD is Rate = - 1 a d [A] dt = - 1 b d [B] dt = + 1 c d [C] dt = + 1 d d [D] dt . For this reaction: Rate = - 1 2 d [ NO ] dt = - 1 2 d [ H ₂] dt = + 1 1 d [ N ₂] dt = + 1 2 d [ H ₂ O ] dt . Option A: 1 2 d [ NO ] dt = - d [ H ₂] dt From the rate expression: - 1 2 d [ NO ] dt = - 1 2 d [ H ₂] dt d [ NO ] dt = d [ H ₂] dt , which is incorrect. Option B: d [ N ₂] dt = - 1 2 d [ H