# I don't know how to approach this question? I need help

##### 1 Answer

#### Explanation:

The question is asking for the order of the reaction about each reactant given data from the table supplies the following correlations:

- Doubling
#["SO"_2]# while holding#["H"_2]# constant doubles#"Rate"# ; - Holding
#["H"_2]# constant while doubling#["SO"_2]# doubles#"Rate"# .

Where

Now back to the question: the key is to find an exponential relationship that properly satisfies all (or both, as in this question) arithmetic correlations the question has implied. For this particular case:

#1^color(navy)(1) xx 1^color(navy)(1) = 1# #2^color(navy)(1) xx 1^color(navy)(1) = 2# #2^color(navy)(1) xx 2^color(navy)(1) = 4#

The exponent

#"Rate" = k["SO"_2]^color(navy)(1) ["H"_2]^color(navy)(1)#

... where

As a side note, the cardinal number that corresponds to the exponent of a particular reactant identifies the order of that species in the reaction, for instance

- A reaction is of "zero" order about a reactant with exponent
#0# omitted (or in other words included as part of the constant#k# ) in the rate law expression - A reaction is of "first" order about a reactant with exponent
#1# , as in this case for both reactants - A reaction is of "second" order about a reactant with exponent
#2#

Reactions of orders higher than two are rare given the unlikelihood for three microscopic particles to collide simultaneously.