MHT CET202521 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 among the following.
Options
- A- 1 2 ~d [ NO ] dt = d [ H ₂ O ] dt
- B- d [ NO ] dt = d [ H ₂ O ] dt
- C- 3 2 ~d [ NO ] dt = d [ H ₂ O ] dt
- D2 ~d [ H ₂ ] dt = d [ N ₂ ] dt
Correct answer
B. - d [ NO ] dt = d [ H ₂ O ] dt
Step-by-step solution
The balanced reaction is 2 NO _ (g) + 2 H _ 2(g) N _ 2(g) + 2 H ₂ O _ (g) . For a general reaction aA + bB cC + dD , the rate is given by: Rate = - 1 a d[A] dt = - 1 b d[B] dt = + 1 c d[C] dt = + 1 d d[D] dt Applying this yields: Rate = - 1 2 d[ NO ] dt = - 1 2 d[ H ₂] dt = + d[ N ₂] dt = + 1 2 d[ H ₂ O ] dt Option A states - 1 2 d[ NO ] dt = d[ H ₂ O ] dt , which contradicts the correct expression. Option B states - d[ NO ] dt = d[ H ₂ O ] dt . Multiplying the correct equality - 1 2 d[ NO ] dt = 1 2 d[ H ₂ O ] dt