Write integrated rate expression for the first order reaction. Also, findHalf life for this expression.

Asked by khandarev3580 | 10th Oct, 2020, 10:54: AM

Expert Answer:

Integrated rate expression of first order reaction-
ln left square bracket straight C subscript straight t right square bracket equals negative kt plus ln left square bracket straight C subscript straight o right square bracket space space space space space space space left parenthesis straight C subscript straight t equals Final space Concentration comma space straight C subscript 0 equals Initial space Concentration right parenthesis

F o r space h a l f minus l i f e minus
C subscript t equals C subscript o over 2
ln left square bracket C subscript o over 2 right square bracket equals negative k t subscript 1 divided by 2 end subscript space plus space ln left square bracket C subscript o right square bracket
minus k t subscript 1 divided by 2 end subscript equals negative ln left parenthesis 2 right parenthesis
t subscript 1 divided by 2 end subscript equals fraction numerator ln 2 over denominator straight k end fraction equals fraction numerator 0.693 over denominator straight k end fraction

Answered by Ravi | 11th Oct, 2020, 03:34: PM