Calculate the initial rate for the formation of c at 25 ∘c, if [a]=0.50m and [b]=0.075m

Trial      [A]      [B]         Rate
            (M)     (M)          (M/s)
1         0.50    0.010      3.0×10−3
2         0.50    0.020       6.0×10−3
3         1.00 0  .010       1.2×10−2

The initial rate for the formation of 'c' at 25 has been calculated to be 2.25 M/s.

The rate of formation of the product has been dependent on the concentration of reactants.

The given reaction has been:

A + 2B C

The rate of reaction can be given as:

Rate = k

By the experimental data:

[A]          [B]            Rate

0.5 M     0.01 M     3 M/s

0.5 M     0.02 M    6 M/s

1 M         0.0.1 M     1.2 M/s

For the value of [A] = 0.5 M,

The possible rate can be: 3 M/s or 6 M/s

The ratio of two possible rates has been directly proportional to the concentration of b.

2 =

b = 1

Since rate 3 and rate 1 have the same concentration of [B], the possible value for a can be calculated with their ratio.

4 =

a = 2

The value of rate constant k can be calculated by substituting the values for the rate 1.

Rate =  k

3 M/s = k M

3 = k (0.25) (0.01)

3 = 0.0025 k

k = 1.2

To calculate the initial rate for the formation of c at [A] = 0.5 M, and [B] = 0.075 M.

Rate = 1.2

Rate = 0.0225 M/s

Rate = 2.25 M/s

The initial rate for the formation of 'c' at 25 has been calculated to be 2.25 M/s.

For more information about the rate of reaction, refer to the link:

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