Answer: a) 1
b) 1.414
c) 4
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.
[tex]A+B+C\rightarrow products[/tex]
[tex]Rate=k[A]^0[B]^\frac{1}{2}[C]^2[/tex]
a) [tex]Rate^'=k[2A]^0[B]^\frac{1}{2}[C]^2[/tex]
[tex]Rate^'=k[2]^0[A]^0[B]^\frac{1}{2}[C]^2[/tex]
[tex]Rate^'=1\times Rate[/tex]
b) [tex]Rate^'=k[A]^0[2B]^\frac{1}{2}[C]^2[/tex]
[tex]Rate^'=k[A]^0[2]^\frac{1}{2}[B]^\frac{1}{2}[C]^2[/tex]
[tex]Rate^'=[2]^\frac{1}{2}Rate[/tex]
[tex]Rate^'=1.414\times Rate[/tex]
c) [tex]Rate^'=k[A]^0[B]^\frac{1}{2}[2C]^2[/tex]
[tex]Rate^'=k[A]^0[B]^\frac{1}{2}[2]^2[C]^2[/tex]
[tex]Rate^'=[2]^2Rate[/tex]
[tex]Rate^'=4\times Rate[/tex]
