The reaction of \( A_{2} \) and \( B_{2} \) follows the equation \[...

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The reaction of \( A_{2} \) and \( B_{2} \) follows the equation
\[
A_{2}(g)+B_{2}(g) \longrightarrow 2 A B(g)
\]
The following data were observed
\begin{tabular}{|c|c|c|}
\hline\( \left[A_{2}\right]_{0} \) & {\( \left[B_{2}\right]_{0} \)} & \( \begin{array}{c}\text { Initial rate of appearance of } \\
A B(\mathrm{~g})\left(\text { in } \mathrm{Ms}^{-1}\right)\end{array} \) \\
\hline 0.10 & 0.10 & \( 2.5 \times 10^{-4} \) \\
0.20 & 0.10 & \( 5 \times 10^{-4} \) \\
0.20 & 0.20 & \( 10 \times 10^{-4} \) \\
\hline
\end{tabular}
Above given question, the value of rate constant for appearance of \( A B(g) \) is :
(a) \( 2.5 \times 10^{-4} \)
(b) \( 2.5 \times 10^{-2} \)
(c) \( 1.25 \times 10^{-2} \)
(d) None of these
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