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A reaction of first - order completed 90% in 90 minutes , henc

Question

A reaction of first - order completed $90%$ in $90$ minutes , hence , it is completed $50%$ in approximately :

50 min

54 min

27 min

62 min

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Alexander Discussed

A reaction of first - order completed

90%

90

minutes , hence , it is completed

50%

in approximately :

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

k = \frac{2.303}{t} l o g \frac{100}{100 - x}

k = \frac{2.303}{90} l o g \frac{100}{100 - 90}

k = 0.0255 min^{- 1}

t_{1/2} = \frac{2.303}{k} l o g \frac{100}{100 - 50}

t_{1/2} = \frac{2.303}{0.0255} l o g \frac{100}{100 - 50}

t_{1/2} = \frac{0.693}{0.0255}

t_{1/2} = 27 min

Hence, the correct option is

C

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Question Text	A reaction of first - order completed $90%$ in $90$ minutes , hence , it is completed $50%$ in approximately :
Answer Type	Text solution:1
Upvotes	150