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For the first order reaction 2N(2)O(5)...

For the first order reaction
`2N_(2)O_(5)(g) rarr 4NO_(2)(g) + O_(2)(g)`

A

(a) The concentration of the reactant decreases exponentially with time

B

(b) the half-life of the reaction decreases with increasing temperature

C

(c ) the half-life of the reaction depends on the initial concentration of the reactant

D

(d) the reaction proceeds to `99.6%` completion in eight half-life duration

Text Solution

Verified by Experts

The correct Answer is:
a, b, d
For first order reaction
`[A]=[A]_(0)e^(-kt)`
Hence concentration of `[NO_(2)]` decreases exponentially.
Also, `t_(1//2)=0.693/K`. Which is independent of concentration and `t_(1//2)` decreases with the increase of temperature.
`t_(99.6)=2.303/K"log"(100/0.4)`
`t_(99.6)=2.303/K(2.4)=8xx0.693/K=8t_(1//2)`
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