Question

estion 22 of NOS is 63x10 c Nos decomposes when heated in carbonarachidest. If the most for the decom a. 1.1 x 10 min 1.2.2 * 10 min 64.5 * 10 min d. 9 x 10 min . 18 10 min

Answer 1

Answer:

Step 1: Explanation

A first-order reaction is a reaction that proceeds at a rate that depends linearly on only one reactant concentration.

We can Use the following First order kinetic equation for first-order reactions:

ln [A]t = ln[A]0 - kt

where

k= rate, t= time, [A]t= concentration after the elapsed time and [A]0 =initial concentration.

Step 1: Calculation of  the time (t)

For simplicity, let's assume the initial concentration is 100.

When the N2O5 decomposes  6.25% of initial value hence  your [A]t would be = ( 6.25 % × 100 ) / 100 % = 6.25

Hence,

initial concentration = [A]0 = 100 M

concentration at time t = [A]t = 6.25 M

k = 6.2 × 10-4 min-1

So by using the first order kinetics equation

ln [A]t = ln[A]0 - kt

=> kt = ln[A]0 / ln [A]t

=> t = ( ln[A]0 / ln [A]t ) / k

=>t = ( ln [100] / [6.25 ] ) /  6.2 × 10-4 min-1

=>t = 2.77 /  6.2 × 10-4 min-1

=> t = 4467.7  = 4.5 × 103 min --------> option(C)

Hence, it will take 4.5 × 103 min for N2O5 to decomposes