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Explain :What is instantaneous rate ?How it is determine?

Answer»

Solution :Definition :The rate of a particular moment of time ,si called instantaeous rate.It is EXPRESSED by `(r_(inst))`.
Explanation:INSTANTANEOUS rate is rate for smallest time.The smallest time interval say dt and during this time the change in concentration by decrease the concentration of REACTANTS is d[R] then the Instantaneous rate is expressed by following.Instantaneous rate =`r_(inst)=-(d[R])/(dt)`
The average rate at the smallest time interval say dt(i.e When `Deltat` approaches zero),Hence,mathematically for an infinitesimally small dt instantaneous rate is given by
As `Deltat to0` or `r_(inst)=-(d[R])/(dt)=(d[P])/(dt)`
[Remember:Average rate `r_(av)=-(Delta[R])/(dt)=(d[P])/(Deltat)]`

The procedure to DETERMINED instantaneous rate : The instantaneous rate is determined graphically. It can be determined by drawing a tangent at time t on either of the cuves for concentration R & p vs time t and calculating its slope. Take the value of d [R] or d[p] & dt and calculate `r_("inst")` ONT he base of tangent of graph.


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