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Question

What is the instantaneous Rate of Reaction? How is it determined?


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Solution

Instantaneous Rate of Reaction

  • To express the rate at a particular moment of time we determine the instantaneous rate.
  • It is obtained when we consider the average rate at the smallest time interval say dt ( i.e. when ∆t approaches zero). Hence, mathematically for an infinitesimally small dt instantaneous rate is as follows:-
  • rav=-Rt
  • As ∆t → 0
  • rins=-dRdt=dPdt

Calculation of instantaneous rate at 600s

  • The instantaneous rate of hydrolysis of butyl chloride is shown in the figure:-
  • It can be determined graphically by drawing a tangent at time t on either of the curves for the concentration of R and P vs time t and calculating its slope.
  • So, the instantaneous rate at 600s is as follows:-
  • Instantaneousrate=-0.0165-0.037800-400smolL-1=5.12×10-5molL–1s–1

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