For a reaction
`2NO(g) + 2H_(2)(g) rarr N_(2)(g)+2H_(2)O(g)`
the following data were obtained:
`|{:(,[NO] (mol L^(-1)),[H_(2)] (mol L^(-1)),"Rate" (mol L^(-1) s^(-1))),(1.,5 xx 10^(-3),2.5 xx 10^(-3),3 xx 10^(-5)),(2.,15 xx 10^(-3),2.5 xx 10^(-3),9xx10^(-5)),(3.,15 xx 10^(-3),10 xx 10^(-3),3.6 xx 10^(-4)):}|`
(a) Calculating the order of reactions.
(b) Find the rate constant.
(c ) Find the initial rate if `[NO] = [H_(2)] = 8.0 xx 10^(-3) M`

Explanation

To solve the problem step by step, we will address each part of the question systematically.

### Given Reaction:
\[ 2NO(g) + 2H_2(g) \rightarrow N_2(g) + 2H_2O(g) \]

### Given Data:
| [NO] (mol L^(-1)) | [H2] (mol L^(-1)) | Rate (mol L^(-1) s^(-1)) |
|-------------------|-------------------|---------------------------|
...