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Properties of Determinants

For a I st or...

Question

For a $I^{s t}$ order decomposition of $S O_{2} C l_{2} (g)$ , to $S O_{2} (g)$ and $C l_{2} (g)$ , an experiment is carried out and the following graph is plotted:

$S O_{2} C l_{2} (g) \to S O_{2} (g) + C l_{2} (g)$

What is the rate constant ( $s e c^{- 1}$ )?

0.2

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4.2 \times 10^{- 1}

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7.7 \times 10^{- 3}

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1.15 \times 10^{- 2}

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Solution

The correct option is C $7.7 \times 10^{- 3}$
$S O_{2} C l_{2} (g) \to S O_{2} (g) + C l_{2} (g)$

t = 0 a
t = t (a -x ) x x

$k = \frac{2.303}{t} \times l o g (\frac{a}{a - x})$

$\frac{k t}{2.303} = l o g a - l o g (a - x)$

$l o g (a - x) = - (\frac{k}{2.303}) t + l o g a$

slope = $\frac{- k}{2.303} = \frac{- 2}{10}$

$k = \frac{2}{10} \times 2.303 m i n^{- 1}$

$k = \frac{2}{10} \times \frac{2.303}{60} s e c^{- 1}$

$k = 7.7 \times 10^{- 3} s e c^{- 1}$

Suggest Corrections

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