COMEDK2024Evening ShiftChemistryChemical KineticsActual
For a reaction 5 X+Y 3 Z , the rate of formation of Z is 2.4 10⁻⁵ ~mol ~L ⁻¹ ~s ⁻¹ Calculate the average rate of disappearance of X .
Options
- A4.0 10⁻⁵ ~mol ~L ⁻¹ ~s ⁻¹
- B4.8 10⁻⁷ ~mol ~L ⁻¹ ~s ⁻¹
- C12.0 10⁻⁵ ~mol ~L ⁻¹ ~s ⁻¹
- D13.33 10⁻⁶ ~mol ~L ⁻¹ ~s ⁻¹
Correct answer
A. 4.0 10⁻⁵ ~mol ~L ⁻¹ ~s ⁻¹
Step-by-step solution
The rate of reaction for the given chemical equation 5X + Y 3Z is expressed in terms of the rates of disappearance of reactants and the rate of formation of products as follows: Rate = - 1 5 d[X] dt = - d[Y] dt = 1 3 d[Z] dt We are given the rate of formation of Z , which is d[Z] dt = 2.4 10⁻⁵ mol L ⁻¹ s ⁻¹ . To find the rate of disappearance of X , which is - d[X] dt , we use the relationship: - 1 5 d[X] dt = 1 3 d[Z] dt - d[X] dt = 5 3 d[Z] dt Substituting the given value: - d[X] dt = 5 3 (2.4 10⁻⁵) = 5 0.8 10⁻⁵