Answer: The rate will increase 32 times if the concentration of both reactants increases 4 times
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.
For the reaction : [tex]2NO+O_2\rightarrow 2NO_2[/tex] [tex]rate=k[NO]^2[O_2]^1[/tex]
k= rate constant
order with respect to [tex]NO_2[/tex] = 2
order with respect to [tex]O_2[/tex] = 1
Thus on increasing the concentration of reactants 4 times :
[tex]rate'=k[4\times NO]^2[4\times O_2]^1[/tex]
[tex]rate'=k\times 8\times 4\times [NO]^2\times [O_2]^1[/tex]
[tex]rate'=32\times rate[/tex]
Thus rate will increase 32 times if the concentration of both reactants increases 4 times
