The reactant concentration in a second-order reaction was 0.560 m after 115 s and 3.30×10−2 m after 735 s . what is the rate constant for this reaction?

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07-08-2017
Chemistry

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The reactant concentration in a second-order reaction was 0.560 m after 115 s and 3.30×10−2 m after 735 s . what is the rate constant for this reaction?

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akiyama316 akiyama316 · Answer 1 · 2017-08-17T13:00:49+02:00

Use the formula for second order reaction:

[tex]\frac{1}{C} = \frac{1}{C_0} + kt[/tex]

C = concentration at time t
C0 = initial conc.
k = rate constant
t = time

1st equation : [tex]\frac{1}{0.56} = \frac{1}{C_0} + 115k[/tex]

2nd Equation: [tex]\frac{1}{0.033} = \frac{1}{C_0} + 735k[/tex]

Find [tex] \frac{1}{C_0} [/tex] from 1st equation and put it in 2nd equation:

[tex]\frac{1}{0.033} = \frac{1}{0.56} - 115k + 735k[/tex]

[tex]\frac{1}{0.033} - \frac{1}{0.56} = 620k [/tex]

k = 0.046