A chemical reaction involves reactant species A, B, and C. Leaving all other factors identical, doubling the concentration of species B increases the rate by a factor of 4. The rate of reaction is not affected by changing the concentration of species A. The rate of the reaction is linearly dependent on the concentration of C. What is the rate equation for this reaction?Rate=k[A][B]2[C]Rate=k[A]2[B][C]2Rate=k[A][B][C]Rate=k[B]2[C]Rate=k[B]2[C]2None of the above

The dependence of the reaction rate on the concentration of the reactants is given by the reaction order of each one, as shown in the rate equation.

[tex]Rate=k.[A]^{x} .[B]^{y} .[C]^{z}[/tex]

where,

k is the rate constant

x, y, z are the reaction orders.

The rate of reaction is not affected by changing the concentration of species A. This means that the reaction order for A is x = 0 since when its concentration changes, the rate stays the same.

Leaving all other factors identical, doubling the concentration of species B increases the rate by a factor of 4. This means that the reaction order for B is y = 2, so when the concentration is doubled, the new rate is 2² = 4 times the initial rate.

The rate of the reaction is linearly dependent on the concentration of C. This means that the reaction order for C is z = 1, that is, a linear dependence.

All in all, the rate equation is:

Rate = k . [B]² . [C]