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Question: A first order reaction is 20% complete in 10 minutes what is the specific rate constant for the reac...

A first order reaction is 20% complete in 10 minutes what is the specific rate constant for the reactions?

A

0.0970min⁡−10.0970\min^{- 1}{}

B

0.009min⁡−10.009\min^{- 1}{}

C

0.0223min⁡−10.0223\min^{- 1}{}

D

2.223min⁡∗−12.223\min^{* - 1}{}

Answer

0.0223min⁡−10.0223\min^{- 1}{}

Explanation

Solution

a−x=80100×a=0.8a,t=10min⁡a - x = \frac{80}{100} \times a = 0.8a,t = 10\min

k=2.303tlog⁡aa−x=2.30310log⁡a0.8ak = \frac{2.303}{t}\log\frac{a}{a - x} = \frac{2.303}{10}\log\frac{a}{0.8a}

k=0.2303log⁡108=0.2303(1−0.9030)k = 0.2303\log\frac{10}{8} = 0.2303(1 - 0.9030)

=0.2303×0.0970=0.223min⁡−1= 0.2303 \times 0.0970 = 0.223\min^{- 1}{}