The reaction 2 n2o5(g) → 4 no2(g) + o2(g) is found to obey the rate law: rate = k [n2o5]. does the reaction mechanism consist of only a single bimolecular step? 1. yes, it must 2. it might, but you cannot tell from the information given. 3. no, it cannot

No, it cannot

Explanation:

Rate law says that rate of a reaction is directly proportional to the concentration of the reactants each raised to a stoichiometric coefficient determined experimentally called as order.

Elementary reactions are reactions which takes place in single step. For elementary reactions the order is same as the stoichiometric coefficients.

Complex reactions are reactions that take place in more than one step and rate is determined by the slowest step of the reaction.

The given reaction is:

Rate law is:

As order is not same as the stoichiometric coefficient of , it is a complex reaction.

part 1: the half-life of the element is 22 years.

part 2: it will take 132.02 year for the sample to decay from 308.0 g to 4.8125 g.

explanation:

part 1: there are two ways to determine the half life time.

first way: the half life time can be determined directly from its definition as it is the time required for the sample to decay to its half concentration.

from the data the initial concentration was 45.0 g and decayed to its half value (22.5 g) in 22.0 years.

second way: the radio active decay is considered first order reaction so we can use the laws of first order reactions.

k = (1/t) ln (a/a-x), where k is the rate constant of the reaction,

t is the time of the reaction

a is the initial concentration of the reactant

a-x is the remaining concentration at time (t)

a = 45.0 g the initial concentration at t = 0 year.

at t = 22 year, a-x = 22.5 g

then k = (1/22 year) ln (45.0 g/ 22.5 g) = 0.0315 year-1.

the half-life time (t1/2) = ln 2/ k = 0.693/ k =0.693/ 0.0315 = 22 years.

part 2:

using the same law k = (1/t) ln (a/a-x),

using the given data; a = 308.0 g and a-x = 4.8125 g and the calculated k from the part 1 (k = 0.0315 year-1)

t = (1/k) ln (a/a-x) = (1/0.0315) ln (308.0/ 4.8125) = 132.02 years

well in order to answer this question you have to provide more information < 3