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

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

rate of the reaction = 0.15 M/s

Step-by-step explanation:

2A + B → 3C

Writing rate law for the reaction:

Rate of reaction = -
`(1)/(2)`
`(d[A])/(dt)` = -
`(d[B])/(dt)` =
`(1)/(3)`
`(d[C])/(dt)` → equation 1

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

⇒ -
`(d[A])/(dt)` = 0.3 M/s

⇒Rate of reaction = -
`(1)/(2)`
`(d[A])/(dt)` =
`(1)/(2)`×0.3 M/s

⇒Rate of reaction = 0.15 M/s

From equation 1,
`(d[C])/(dt)` = -
`(3)/(2)`
`(d[A])/(dt)` =
`(3)/(2)`×0.3 M/s

⇒
`(d[C])/(dt)` = 0.45 M/s

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