(A) [A] = - kt + [A] 0 After 150 s, 9.00 * 10 -2 = - k * (150) + [A] 0 --------

Question

(A)

[A] = - kt + [A]0

After 150 s,

9.00 * 10-2 = - k * (150) + [A]0 -------- (1)

After 370 s,

1.50 * 10-2 = - k * ( 370 ) + [A]0 ----------- (2)

do (1) - (2)

9.00 * 10-2 - 1.50 * 10-2 = - k * (150) + k (370)

7.5 * 10-2 = 220 * k

k = rate constant of zero order reaction = 3.41 * 10-4 M/s

(B)

From (1)

9.00 * 10-2 = 3.41 * 10-4 (150) + [A]0

[A]0 = 3.885 * 10-2 M

(C)

For fist order reaction,

ln[A] = - kt + ln[A]0

6.10 * 10-2 = - k (10) + ln[A]0      -------------- (1)

8.70 * 10-3 = - k (90) + ln[A]0 ---------------- (2)

Do, (1) - (2)

(6.10 * 10-2) - (8.70 * 10-3) = - k (10) + k (90)

5.23 * 10-2 = 80 k

k = 6.54 * 10-4 s-1

(D)

for second order reaction,

1 / [A] = kt + 1 / [A]0

1 / 0.850 = k (225) + 1 / [A]0 ----------- (1)

1 / (8.10 * 10-2) = k (730) + 1 / [A]0 ------- (2)

do (1) - (2)

- 11.2 = k ( - 505 )

k = 2.22 * 10-2 L.mol-1.s-1

Explanation / Answer

Using Integrated Rate Laws The integrated rate laws for zero-first-, and second-order reaction may be arranged such that they resemble the equation for a straight line,y mx + b Order Integrated Rate Law GraphSlope [A] =-kt + [Alo | [A] vs. t VS AlA] Part A The reactant concentration in a zero-order reaction was 9.00x102 M after 150 s and 1.50x10 2 M after 370 s. What is the rate constant for this reaction? Express your answer with the appropriate units. Indicate the multiplication of units, as necessary, explicitly either with a multiplication dot or a dash Hints IA k0th= Value Units Submit My Answers Give Up Part B What was the initial reactant concentration for the reaction described in Part A? Express your answer with the appropriate units. Indicate the multiplication of units, as necessary, explicitly either with a multiplication dot or a dash Hints Alb-Value Units Submit My Answers Give Up Part C The reactant concentration in a first-order reaction was 6.10x102 M ater 10.0 s and 8.70x10-3 M after 90.0 s. What is the rate constant for this reaction? Express your answer with the appropriate units. Indicate the multiplication of units, as necessary, explicitly either with a multiplication dot or a dash Hints k1st= 1 Value Units Submit My Answers Give Up

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