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← IIT-JEE 2010 · Paper 1
ChemistryInteger+3Question 27 of 84

IIT-JEE 2010 · Paper 1, Chemistry question 27

The concentration of R in the reaction R →\rightarrow P was measured as a function of time and the following data is obtained:

[R] (molar) 1.0 0.75 0.40 0.10
t (min.) 0.0 0.05 0.12 0.18

The order of the reaction is

Answer and worked solution

Official answer: 0

Rates over each interval.

  • 0 to 0.05 min: 1.0−0.750.05=5\dfrac{1.0-0.75}{0.05}=5 M min⁻¹;
  • 0.05 to 0.12 min: 0.75−0.400.07=5\dfrac{0.75-0.40}{0.07}=5 M min⁻¹;
  • 0.12 to 0.18 min: 0.40−0.100.06=5\dfrac{0.40-0.10}{0.06}=5 M min⁻¹.

The concentration falls linearly with time: the rate does not depend on [R]. The reaction is zero order.

Answer: 0