1-For the reaction A + 3B ? 2C, the rate of disappearance of B given by (?[B]/?t

Question

1-For the reaction A + 3B ? 2C, the rate of disappearance of B given by (?[B]/?t) may also be expressed as

2-Chlorine dioxide reacts in basic water to form chlorite and chlorate according to the following chemical equation: 2ClO2(aq) + 2OH–(aq) ? ClO2–(aq) + ClO3–(aq) + H2O(l) Under a certain set of conditions, the initial rate of disappearance of chlorine dioxide was determined to be 2.30 x 10–1 M/s. What is the initial rate of appearance of chlorite ion under those same conditions?

what is the average rate of formation of A2 in the interval 20-30seconds?

Explanation / Answer

1) the given reaction is

A + 3 B ---> 2 C

now

-d[A] / dt = - d[B] / 3dt = d[C] / 2dt

so

-d[B] /dt = - 3 d[A]/ dt

also

-d[B] /dt = 1.5 d[C] / dt

2)

the given reaction is

2 Cl02 + 2OH- ---> Cl02- + Cl03- + H20

we can see that

- d[Cl02] / 2dt = d[Cl03-] / dt

given

-d[Cl02] / dt = 2.3 x 10-1

so

d[Cl03-]/dt = 2.3 x 10-1 / 2

d [Cl03-] / dt = 1.15 x 10-1

so

the initial rate of appearance of chlorite ion is 1.15 x 10-1

3)

203 --> 302

we can see that

d [02] / dt = 1.5 x -d[03]/dt

given

-d[03] / dt = 9.04 x 10-3

d[02]/dt = 1.5 x9.04 x 10-3

d [02] / dt = 13.56 x 10-3

4)

average rate of disapperance of A3 = 5 x 10-5 - 1 x 10-4 / 30-20

average rate of disappearance of A3 = -5 x 10-6

now

2 A3 --> 3 A2

d[A2] / dt = 1.5 x - d[A3]/dt

so

d[A2]/dt = 1.5 x 5 x 10-5

d [A2]/dt = 7.5 x 10-5

so

the average rate of formation of A2 in 20-30 sec is 7.5 x 10-5

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