A gaseous compound \( A \) reacts by three independent first order processes (as shown in figure...

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A gaseous compound \( A \) reacts by three independent first order processes (as shown in figure) with rate constant \( 2 \times 10^{-3}, 3 \times 10^{-3} \) and \( 1.93 \times 10^{-3} \mathrm{sec}^{-1} \) for products \( B, C \) and \( D \) respectively. If initially pure \( A \) was taken in a closed container with \( P=8 \mathrm{~atm} \), then the partial pressure of \( B \) (in atm) after 100 sec from starting the experiment.
(a) \( 0.288 \)
(b) \( 0.577 \)
(c) \( 1.154 \)
(d) none of these
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