The following results have been obtained during the kinetic studies of the reaction: $2 \ NO + 2 \ H_2 \longrightarrow N_2 + 2 \ H_2O$
Expt$\frac{-d[NO]}{dt} \ (mol \ L^{-1} \ s^{-1})$$[NO] \ (mol \ L^{-1})$$[H_2] \ (mol \ L^{-1})$
$1$$4.8 \times 10^{-5}$$1 \times 10^{-2}$$1 \times 10^{-3}$
$2$$43.2 \times 10^{-5}$$3 \times 10^{-2}$$1 \times 10^{-3}$
$3$$86.4 \times 10^{-5}$$3 \times 10^{-2}$$2 \times 10^{-3}$

  • A
    $\frac{-d[NO]}{dt} = k[NO]^2[H_2]$
  • B
    $\frac{-d[NO]}{dt} = k[NO]^2[H_2]^{\frac{1}{2}}$
  • C
    $\frac{-d[NO]}{dt} = k[NO][H_2]^2$
  • D
    $\frac{-d[NO]}{dt} = k[NO][H_2]$

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The reaction between $A$ and $B$ is first order with respect to $A$ and zero order with respect to $B$. Fill in the blanks in the following table:
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