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At $300 \mathrm{~K}$, a gaseous reaction $\mathrm{A} \longrightarrow \mathrm{B}+\mathrm{C}$ was found to follow first order kinetics. Starting with pure $A$, the total pressure at the end of $20 \mathrm{~min}$ was $100 \mathrm{~mm}$ of $\mathrm{Hg}$. The total pressure after the completion of the reaction is $180 \mathrm{~mm}$ of $\mathrm{Hg}$. The partial pressure of $A$ (in $\mathrm{mm}$ of $\mathrm{Hg}$ ) is
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The correct answer is:
80
At the end of the reaction, A completely converted into products, so the pressure of the products after completion of the reaction $=\mathrm{P}_{\mathrm{i}}$ Partial pressure of $\mathrm{A}, \mathrm{P}_{\mathrm{A}}=\mathrm{p}_{\mathrm{i}}-\mathrm{x}$
$$
\begin{aligned}
&=(180-100) \mathrm{atm} \\
&=80 \mathrm{~atm}
\end{aligned}
$$
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