Calculate the rate constant at 16c of the elementary

Question

The rate constant of the elementary reaction 

NOCl(g) + NO₂(g) ----->ClNO₂(g) + NO(g)

is 0.527 L mol^-1 s^-1 at 16°C, and its equilibrium constant is 1.05×10^-4 at this temperature. Calculate the rate constant at 16°C of the elementary reaction

 ClNO₂(g) + NO(g) ------>NOCl(g) + NO₂(g) 

__________L mol^-1 s^-1

HINT: At equilibrium, the rate of the forward reaction is equal to the rate of the reverse reaction.