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First Order Reaction

SO 2Cl 2g→ SO...

Question

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

The given reaction is a first order gas reaction with $k = 2.2 \times 10^{- 5} s e c^{- 1}$ at $320^{\circ}$ C. What % of $S O_{2} C l_{2}$ is decomposed on heating this gas for 90 min?

11.2%

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12.3%

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13.4%

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14.5%

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Solution

The correct option is A 11.2%
for a first order reaction:

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

$k = 2.2 \times 10^{- 5} = 2.303 l o g (\frac{\frac{a}{a - x}}{90 \times 60})$

so $\frac{(a - x) \times 100}{a} = 88.8$ %

so % decomposed $= 100 - 88.8 = 11.2$ %

Hence, the correct option is $A$

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0.65 a t m

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