the first order of reaction is 20 complete in 10 min calculate the rate const of a reaction
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Given that 20% reaction completed in 10 min
We known that time period for 1 St order reactions is
T = -2.303 log(final concentration/initial concentration)/k
For given reaction we need to find k
Now
initial concentration A = 100
Final concentration B = 80
And time T = 10 min
So
k = -2.303 log (B/A) /T
=-2.303 log(80/100) / 10
=0.0223
Therefore k = 0.0223.
For new reaction
Final concentration C = 25 ( because 75 of reaction is finished).
Now
time taken T = -2.303 log(C/A)/k
= -2.303 log(25/100) /0.0223
=62.17 min
Therefore time taken to complete 75% of reaction is 62.17 min
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