Determine the rate law, including the values of the orders and rate law constant, for the following reaction using the experimental data provided.
Q + X --> products
Trial | [Q] | [X] | Rate |
1 | 0.12 M | 0.10 M | 1.5 x 10-3 M/min |
2 | 0.24 M | 0.10 M | 3.0 x 10-3 M/min |
3 | 0.12 M | 0.20 M | 1.2 x 10-2 M/min |
see experiment 1 and 2:
[Q] doubles
[X] is constant
rate doubles
so, order of Q is 1
see experiment 1 and 3:
[Q] is constant
[X] doubles
rate becomes 8 times
so, order of X is 3
overall order = 1 + 3 = 4
Rate law is:
rate = k*[Q]*[X]^3
Put values from 1st row of table in rate law
rate = k*[Q]*[X]^3
1.5*10^-3 = k*0.12*0.1^3
k = 12.5 M-3.s-1
rate = k*[Q]*[X]^3
k = 12.5 M-3.min-1
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