The rate constant for the decomposition of nitrogen dioxide no2(g) latex: \longrightarrow⟶ no (g) + 1/2 o2(g) with a laser beam is 1.95 1/mlatex: \cdot⋅ min. find the time, in seconds, needed to decrease 2.48 m of no2 to 0.97 m. hint: what is the order of the reaction? how can you determine that? units of k?

Answer :

The time taken by the reaction is 19.2 seconds.

The order of reaction is, second order reaction.

Explanation :

The general formula to determine the unit of rate constant is:

Unit of rate constant                           Order of reaction

                                       0

                                                             1

                                2

As the unit of rate constant is . So, the order of reaction is second order.

The expression used for second order kinetics is:

where,

k = rate constant =

t = time = ?

= final concentration = 0.97 M

= initial concentration = 2.48 M

Now put all the given values in the above expression, we get:

Therefore, the time taken by the reaction is 19.2 seconds.