Three different sets of data of [A] versus time are given in the following table

Question

Three different sets of data of [A] versus time are given in the following table for the reaction A?products

Part A

What is the approximate rate of reaction at t = 25s for the zero-order reaction?

Express your answer using two significant figures.

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Part B

What is the approximate rate of reaction at t = 25s for the first-order reaction?

Express your answer using two significant figures.

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Part C

What is the approximate rate of reaction at t = 25s for the second-order reaction?

Express your answer using two significant figures.

first-order reaction zero-order reaction second-order reaction Time,s [A], M Time, s [A], M Time, s [A],M 0 1.00 0 1.00 0 1.00 25 0.78 25 0.75 25 0.80 50 0.61 50 0.50 50 0.67 75 0.47 75 0.25 75 0.57 100 0.37 100 0.00 100 0.50 150 0.22 150 0.40 200 0.14 200 0.33 250 0.08 250 0.29

Explanation / Answer

Part A.For Zero-order reaction:

Integrated rate law is given by,

CA-CA0=-kt

Taking time, t=0 and t=25

0.75-1.00=-k*25

k=0.01

Rate at t=25:

Rate=k=0.01M/sec

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Part B. For 1st -order reaction:

Integrated rate law is given by,

ln(CA /CA0)=-kt

Taking time, t=0 and t=25

ln(0.78/1.00)=-k*25

k=9.94*10-3

Rate at t=25:

Rate=kCA=9.94*10-3*0.78=7.75*10-3 M/sec

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Part C. For 2nd order reaction:

Integrated rate law is given by,

1/CA-1/CA0=-kt

Taking time, t=0 and t=25

1/0.80-1/1.00=-k*25

k=0.01

Rate at t=25:

Rate=kCA2=0.01*0.802=6.4*10-3 M/sec

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