Question

estion 12 of 16 Consider this initial-rate data at a certain temperature for the reaction described by Initial rate C,H,Cl1O (M) C,H,Clg)C,H, (g) + HCl(g) (M/s) -30 0.805 x 10 0.100 Determine the order with respect to C, H, Cl. 0.200 1.61 x 10-30 0.300 2.42 x 10-30 order: Determine the value and units of the rate constant. k= Publisher: University Science Bo- Question Source: MRG-General Chemistry

Answer 1

Let the order of reaction is n^{​​​​​​th}, then the rate of the reaction will be given as follows.

rate = k[C₂H₅Cl]ⁿ

where , k = rate constant

Step (1) Calculation for order of reaction.

using the given first data.

0.805×10^-30M/s = k(0.100M)ⁿ .........(1)

Using the second data .

1.61×10^-30M/s = k(0.200M)ⁿ ........(2)

By dividing equation 2 by equation 1.

{(1.61×10^-30M/s)/(0.805×10^-30 M/s)} = {k(0.200M)}ⁿ/{k(0.100M)}ⁿ

2 = [0.200M/0.100M]ⁿ

2 = (2)ⁿ

or

2¹= (2)ⁿ

on comparing both sides.

n = 1

Hence ,

Order of reaction = n = 1

.

Step(2) Calculation for rate constant.

Putting the value of n in equation number (1)

0.805×10^-30M/s = k(0.100M)¹

0.805×10^-30M/s = k(0.100M)

k = (0.805×10^-30M/s)/(0.100M)

k = 8.05×10^-30/s

k = 8.05×10^-30s^-1

Hence,

unit of rate constant = s^{​​​​​​-1}​

k = 8.05×10^-30

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