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

Respuesta :

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 = -[tex]\frac{1}{2}[/tex][tex]\frac{d[A]}{dt}[/tex] = -[tex]\frac{d[B]}{dt}[/tex] = [tex]\frac{1}{3}[/tex][tex]\frac{d[C]}{dt}[/tex] → equation 1

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

⇒ - [tex]\frac{d[A]}{dt}[/tex] = 0.3 M/s

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

Rate of reaction = 0.15 M/s

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

[tex]\frac{d[C]}{dt}[/tex] = 0.45 M/s

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