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  • Which of the following is true about the half life of nth order reaction?Option: 1 <img alt="t_{1/2}\: \alpha\: (a)^{1-n}" src="https://le

Which of the following is true about the half life of nth order reaction?

Option: 1

t_{1/2}\: \alpha\: (a)^{1-n}


Option: 2

t_{1/2}\: \alpha\: (a)^{n-1}


Option: 3

t_{1/2}\: \alpha\: (a)^{-1}


Option: 4

t_{1/2}\: \alpha\: (a)^{n}


Answers (1)

best_answer

nth Order Kinetics -

The rate of the reaction is proportional to nth power of the reactant.

Differential rate law

=\frac{dx}{dt}=k(a-x)^{n}

Integrated rate laws,

=\frac{1}{n-1}[(a-x)^{1-n} -a^{(1-n)}]=k_nt

a= initial, concentration of reactant at t=0 sec

x= concentration of product formed at t= t sec

t_\frac{1}{2}=\frac{1}{(n-1)(a^{n-1})(k_n)}[2^{n-1}-1]

Formulae for all the orders except n=1

 
Half-life:


t_{1/2}\: \alpha\: (a)^{1-n}

Therefore, option(1) is correct

Posted by

rishi.raj

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