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  4. At 300 K, a gaseous reaction: A arrow B + C was found to follow first order kinetics. Starting with pure A, the total pressure at the end of 20 minutes was 100 mm of Hg. The total pressure after the completion of the reaction is 180 mm of Hg. The partial pressure of A (in mm of Hg) is

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Q. At $300\, K$, a gaseous reaction:
$A \rightarrow B + C$
was found to follow first order kinetics. Starting with pure $A$, the total pressure at the end of $20$ minutes was $100\, mm \,of\, Hg$. The total pressure after the completion of the reaction is $180\, mm\, of\, Hg$. The partial pressure of $A (in\, mm \,of\, Hg)$ is

KCETKCET 2012Chemical Kinetics

Solution:

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At the end of the reaction, $A$ completely converted into products, so the pressure of the products after completion of the reaction $=p_{i}$ Partial pressure of $A$,

$ p_{A}=p_{i}-x$

$=(180-100) atm$

$=80 \,atm$