Explanation:
A + B + C → D
Given rate law of the reaction :
![R=k[A]^2[B]](https://tex.z-dn.net/?f=R%3Dk%5BA%5D%5E2%5BB%5D)
a) Rate of the reaction if [A] is doubled = R'
![R'=k[2A]^2[B]=4k[A]^2[B]](https://tex.z-dn.net/?f=R%27%3Dk%5B2A%5D%5E2%5BB%5D%3D4k%5BA%5D%5E2%5BB%5D)
R' = 4 × R
The rate of the reaction will change by factor of 4.
b) Rate of the reaction if [B] is reduced to quarter = R'
![R'=k[A]^2[\frac{B}{4}]=0.25k[A]^2[B]](https://tex.z-dn.net/?f=R%27%3Dk%5BA%5D%5E2%5B%5Cfrac%7BB%7D%7B4%7D%5D%3D0.25k%5BA%5D%5E2%5BB%5D)
R' = 0.25 × R
The rate of the reaction will change by factor of 0.25.
c) Rate of the reaction if [C] is increased by 3 times= R'
Rate law of the reaction :
![R'=k[A]^2[B]](https://tex.z-dn.net/?f=R%27%3Dk%5BA%5D%5E2%5BB%5D)
As we can see that [C] does not appears in rate law of the reaction, which means that rte of the reaction is independent of [C].
R' = R
The rate of the reaction will remain the same.
The expected rate constant value for this experiment:
![R=k[A]^2[B]](https://tex.z-dn.net/?f=R%3Dk%5BA%5D%5E2%5BB%5D)
![k=\frac{R}{[A]^2[B]}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7BR%7D%7B%5BA%5D%5E2%5BB%5D%7D)