PLEASE report to corresc significant figures The reaction A rightarrow B + C is

Question

PLEASE report to corresc significant figures

The reaction A rightarrow B + C is known to be first order in A. Below arc data showing the concentration of A as a function of reaction time. (a) What is the average rate of reaction between 5 and 20 min? Report the units as well as the numbers. (b) Plot the data above, showing the concentration of A as a function of the time. From your graph, determine the instantaneous rate of reaction at 40 min. Report the units as well as the numbers. (c) Plot In [A] versus time. Estimate the rate constant for this first-order reaction from your graph. Report the units as well as the numbers.

Explanation / Answer

1.Averate rate of A between 5 and 20 min= (concentration at 20 min-concentration at 5min)/(20-5)= (2.74-4.3)*10-2/15=-1.04*10-3 M/sec ( since A is consumed its aveage rate is -ve.

2. the plot of lnA vs time is fit into equation first for calculating the instant rate at 40 min. The plot is shown below

the plot is straight line suggesting the 1st order equation

lnCA= -0.03*t 2.996

the rate constant is the slope 0.03/min

the instantaneous rate can be determined by differentiating the equation with respect to t

(1/CA)*dCA/dt= -0.03

dCA/dt= -0.03*CA

at 40 min, CA=1.51*10-2, dCA/dt= -0.03*1.51/100 =-0.000453 M/sec

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