MHT CET202519 Apr 2025Evening ShiftChemistryChemical KineticsActual
Which from following is a currect representation of reaction rate for reaction stated below? N _ 2( ~g ) +3 H _ 2( ~g ) 2 NH _ 3( ~g )
Options
- Ad [ N ₂ ] dt =-3 ~d [ H ₂ ] dt =2 ~d [ NH ₃ ] dt
- Bd [ N ₂ ] dt =- 1 3 ~d [ H ₂ ] dt = 1 2 ~d [ NH ₃ ] dt
- C- d [ N ₂ ] dt =- 1 3 ~d [ H ₂ ] dt = 1 2 ~d [ NH ₃ ] dt
- Dd [ N ₂ ] dt = 1 3 ~d [ H ₂ ] dt =- 1 2 ~d [ NH ₃ ] dt
Correct answer
C. - d [ N ₂ ] dt =- 1 3 ~d [ H ₂ ] dt = 1 2 ~d [ NH ₃ ] dt
Step-by-step solution
The rate of reaction for a general equation aA + bB cC + dD is defined as Rate = - 1 a d [ A ] dt = - 1 b d [ B ] dt = + 1 c d [ C ] dt = + 1 d d [ D ] dt For N _ 2( g ) + 3 H _ 2( g ) 2 NH _ 3( g ) , the stoichiometric coefficients are 1, 3, and 2 respectively, giving Rate = - d [ N ₂] dt = - 1 3 d [ H ₂] dt = 1 2 d [ NH ₃] dt Comparing with the options, only C) - d [ N ₂] dt = - 1 3 d [ H ₂] dt = 1 2 d [ NH ₃] dt matches the derived expression. The correct answer is C .