KINETICS AND = Deducing a rate law from initial reaction rate data Some measurem

Question

KINETICS AND = Deducing a rate law from initial reaction rate data Some measurements of the initial rate of a certain reaction are given in the table below [N2] 2] | initial rate of reaction! 2.33 M 1.74 M 1.00x 10 M/s 0.980 M 1.74 M 4.21 x 103 M/s 2.33 M 4.10M 5.55x 10 Ms Use this information to write a rate law for this reaction, and calculate the value of the rate constant k ee sure your value for the rate constant has the correct number of significans digts. Also be sure your answer has the corret unit symbol digits. Also be sure your answer has the correct unit symbol. rate

Explanation / Answer

Rate = K [N2]x [H2]y

1.00 * 10^4 = K (2.33)^x (1.74)^y ......................> (1)

4.21 * 10^3 = K (0.980)^x (1.74)^y.........................> (2)

5.55 * 10^4 = K (2.33)^x (4.10)^y ...................> (3)

equation (1) is divided by equation (2), we get

2.38^x = 2.38

x = 1

equation (3 ) is divided by equation (1), we get

2.356^y = 5.55

y = 2

so rate equation is

Rate = K [N2][H2]^2

from equation (1),

we get

K = 1.00 * 10^4 / (2.33) * (1.74)^2

K = 1.42 * 10^3 M-2s-1 (answer)

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