Home
Class 12
CHEMISTRY
Given that for a reaction of order n the...

Given that for a reaction of order n the integrated form of the rate equation is `k=(1)/(t(n-1))[(1)/(C^(n-1))-(1)/(C_(0)^(n-1))]` where `C_(0)` and C are the values of the reactant concentration at the start and after time t. What is the relationship between `t_((3)/(4))` and `t_((1)/(2))` where `t_((3)/(4))` is the time required for C to become `(1)/(4)C_(0)`

A

`t_(3//4)=t_(1///2) [2^(n-1)+1]`

B

`t_(3//4)=t_(1///2) [2^(n-1)-1]`

C

`t_(3//4)=t_(1///2) [2^(n-1)-1]`

D

`t_(3//4)=t_(1///2) [2^(n+1)+1]`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Given that for a reaction of nth order, the integrated rate equation is: K=1/(t(n-1))[1/C^(n-1)-1/C_(0)^(n-1)] , where C and C_(0) are the concentration of reactant at time t and initially respectively. The t_(3//4) and t_(1//2) are related as t_(3//4) is time required for C to become C_(1//4 ) :

Derive the integrated rate equation for first order reactions.

Find the integral values of n for the equations : (a) (1+i)^(n)=(1-i)^(n)

Derive integrated rated equation for rate constant of a first order reaction.

For a given reaction, t_(1//2) = 1 //ka . The order of this reaction is

What does 'e' represent in the integral form of exponential growth equation given below? N_(t)=N_(0)e^(rt)

For a certain reaction of order 'n' the time for half change t_(1//2) is given by : t_(1//2)=(2-sqrt(2))/KxxC_(0)^(1//2) where K is rate constant and C_(0) is the initial concentration. The value of n is:

The order of reaction is an experimentally determined quanity. It may be zero, poistive, negative, or fractional. The kinetic equation of nth order reaction is k xx t = (1)/((n-1))[(1)/((a-x)^(n-1)) - (1)/(a^(n-1))] …(i) Half life of nth order reaction depends on the initial concentration according to the following relation: t_(1//2) prop (1)/(a^(n-1)) ...(ii) The unit of the rate constant varies with the order but general relation for the unit of nth order reaction is Units of k = [(1)/(Conc)]^(n-1) xx "Time"^(-1) ...(iii) The differential rate law for nth order reaction may be given as: (dX)/(dt) = k[A]^(n) ...(iv) where A denotes the reactant. The rate constant for zero order reaction is where c_(0) and c_(t) are concentration of reactants at respective times.

The order of reaction is an experimentally determined quanity. It may be zero, poistive, negative, or fractional. The kinetic equation of nth order reaction is k xx t = (1)/((n-1))[(1)/((a-x)^(n-1)) - (1)/(a^(n-1))] …(i) Half life of nth order reaction depends on the initial concentration according to the following relation: t_(1//2) prop (1)/(a^(n-1)) ...(ii) The unit of the rate constant varies with the order but general relation for the unit of nth order reaction is Units of k = [(1)/(Conc)]^(n-1) xx "Time"^(-1) ...(iii) The differential rate law for nth order reaction may be given as: (dx)/(dt) = k[A]^(n) ...(iv) where A denotes the reactant. In a chemical reaction A rarr B , it is found that the rate of the reaction doubles when the concentration of A is increased four times. The order of the reaction with respect to A is: