Reaction between iodide and bromate in acidic solution

Question

Assignment:

The equation for the reaction between iodide and bromate in acidic solution is

6I^-(aq) + BrO₃^-(aq) + 6H⁺(aq) ---> 3I₂(aq) + Br^-(aq) + 3H₂O

The rate of the reaction is followed by measuring the appearance of I₂. The following data are obtained.
[I-] [BrO₃^-] [H⁺] Initial Rate (mol/L x s)
0.0020 0.0080 0.020 8.89 x 10-5
0.0040 0.0080 0.020 1.78 x 10-4
0.0020 0.0160 0.020 1.78 x 10-4
0.0020 0.0080 0.040 3.56 x 10-4
0.0015 0.0040 0.030 7.51 x 10-5

Q1. What is the order of the reaction with respect to each reactant?
Q2. Write the rate expression for the reaction
Q3. Calculate k.
Q4. What is the hydrogen ion concentration when the rate is 5.00 x 10^-4 mol/Lxs and [I-] = 1/2[BrO₃^-]= 0.0075M?

Provide complete and step by step solution for the question and show calculations and use formulas.