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The rate of reaction ((dx)/(dt)) varies ...

The rate of reaction `((dx)/(dt))` varies with nature, physical state and concentration of reactants, temperature, exposure to light and catalyst, whereas rate constant `(K)` varies with temperature and catalyst only. The rate constant `K` is given as `K=Ae^(-E_(a)//RT)` where `A` is Arrhenius parameter or pre-exponential factor and `E_(a)` is energy of activation. The minimum energy required for a reaction is called threshold energy and the additional energy required by reactant molecules to attain threshold energy level is called energy of activation.
For a chemical reaction: `Ararr` Product, the rate of disappearance of `A` is given by: `(-dC_(A))/(dt)=K_(1) (C_(A))/(1+K_(2)C_(A))`. At low `C_(A)`, the order of reaction and rate constants are respectively:

A

(a) `I, K_(1)/K_(2)`

B

(b) `I, K_(1)`

C

(c ) `II, K_(1)/K_(2)`

D

(d) `II, K_(1)/(K_(1)+K_(2))`

Text Solution

Verified by Experts

The correct Answer is:
b
`-(dC_(A))/(dt)=(K_(1)C_(A))/(1+K_(2)C_(A)), if C_(A)= low`
`1+K_(2)C_(A)=1`
`:. (dC_(A))/(dt)=K_(1)C_(A)`
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