Question

For the reaction, 2A + B → 3C, rate of disappearance of A is 0.3 M/s in a certain time interval.What is the average rate of appearance of C and what is the average rate of the reaction in that time interval?
A) rate of appearance of C = 0.45 M/s
rate of the reaction = 0.6 M/s
B) rate of appearance of C = 0.2 M/s
rate of the reaction = 0.6 M/s
C) rate of appearance of C = 0.2 M/s
rate of the reaction = 0.15 M/s
D) rate of appearance of C = 0.45 M/s
rate of the reaction = 0.3 M/s
E) rate of appearance of C = 0.45 M/s
rate of the reaction = 0.15 M/s

Answer 1

Answer:

E) rate of appearance of C = 0.45 M/s

rate of the reaction = 0.15 M/s

Explanation:

2A + B → 3C

Writing rate law for the reaction:

Rate of reaction = -$\frac{1}{2}$$\frac{d[A]}{dt}$ = -$\frac{d[B]}{dt}$ = $\frac{1}{3}$$\frac{d[C]}{dt}$ → equation 1

Given that the rate of disappearance of A is 0.3 M/s

⇒ - $\frac{d[A]}{dt}$ = 0.3 M/s

⇒Rate of reaction = - $\frac{1}{2}$$\frac{d[A]}{dt}$ = $\frac{1}{2}$×0.3 M/s

⇒Rate of reaction = 0.15 M/s

From equation 1, $\frac{d[C]}{dt}$ = - $\frac{3}{2}$$\frac{d[A]}{dt}$ = $\frac{3}{2}$×0.3 M/s

⇒$\frac{d[C]}{dt}$ = 0.45 M/s

or the rate of appearance of C = 0.45 M/s