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Please answer the following question with explanation 

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Asked by deepakudgiri29 28th November 2018, 5:38 PM
Answered by Expert
Answer:
Given: 
t1/2A = 54.0 min
t1/2B = 18.0 min
As we have given [A0=B0]
Let's consider the initial concentration of A and B = x
and for final concentration A=4y and B = y
 
therefore T space equals space fraction numerator 2.303 over denominator 0.693 end fraction space t subscript bevelled 1 half end subscript A space space log space fraction numerator x over denominator 4 y end fraction space......................... left parenthesis 1 right parenthesis
therefore T space equals space fraction numerator 2.303 over denominator 0.693 end fraction space t subscript bevelled 1 half end subscript B space space log space x over y space........................... left parenthesis 2 right parenthesis

Let apostrophe straight s space solve space eq space left parenthesis 1 right parenthesis space and space left parenthesis 2 right parenthesis

fraction numerator 2.303 over denominator 0.693 end fraction left parenthesis 54 right parenthesis space space log space fraction numerator straight x over denominator 4 straight y end fraction space equals fraction numerator 2.303 over denominator 0.693 end fraction left parenthesis 18 right parenthesis space space log space straight x over straight y

54 space log fraction numerator straight x over denominator 4 straight y end fraction equals 18 log space straight x over straight y
straight x over straight y equals space open parentheses fraction numerator straight x over denominator 4 straight y end fraction close parentheses cubed

straight x over straight y equals space straight x cubed over straight y cubed space cross times 1 over 4 cubed
straight x squared space equals space 4 cubed cross times straight y squared

straight x space equals space 8 space straight y
Put space the space value space of space straight x space in space eq. space 1
therefore straight T space equals space fraction numerator 2.303 over denominator 0.693 end fraction left parenthesis 54 right parenthesis space space log space fraction numerator 8 straight y over denominator 4 straight y end fraction
therefore straight T space equals space fraction numerator 2.303 over denominator 0.693 end fraction left parenthesis 54 right parenthesis space space log space 2
therefore straight T space equals space 54 space min
 
 
Answered by Expert 7th December 2018, 6:10 PM
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