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Question

A drug becomes ineffective after 50% decomposition. The original concentration of a sample was 5 mg/mL, which becomes 4 mg/mL in 20 months. Assuming the decomposition to be of first order, calculate the time in which the drug becomes inffective
Take :
log10(54)=0.097

A
40.41 months
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B
122.44 months
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C
62.12 months
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D
None of the above
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Solution

The correct option is C 62.12 months
k=2.303tlog10(aax)k=2.30320log10(54)
=0.011 month1
Expiry time 't' may be calculated as :
k=2.303tlog10aax
0.011=2.303tlog1010050
t=62.12 months

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