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First Order Reaction

Calculate the...

Question

Calculate the half-life of the first order reaction $C_{2} H_{4} O_{2} (g) ⟶ C H_{4} (g) + C O_{2} (g)$ if the initial pressure of $C_{2} H_{4} O (g)$ is $84$ mm and the total pressure at the end of $16$ min is $110$ mm.

40

min

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120

min

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43.31

min

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80

min

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Solution

The correct option is D $43.31$ min
$k = \frac{2.303}{t} l o g \frac{p_{1}}{p_{2}}$

$k = \frac{2.303}{16} l o g \frac{84}{110}$

$k = 0.01685 {m i n}^{- 1}$

$t_{1 / 2} = \frac{0.693}{k}$

$t_{1 / 2} = 43.31 m i n$

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