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  • Decomposition of X exhibits a rate constant of <img alt="\mathrm{0.25\, \mu \mathrm{g} /year}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B0.25%5C%2C%20%5Cmu%20%5Cmathrm%7

Decomposition of X exhibits a rate constant of \mathrm{0.25\, \mu \mathrm{g} /year} . How many years are required for the decomposition of 8\, \mathrm{ug}of x into 1.5\, \mathrm{ug}

Option: 1

50 years


Option: 2

35 years


Option: 3

26 years


Option: 4

45 years


Answers (1)

best_answer

\mathrm{\begin{aligned} {[x] } & =[x]_0-k t \\\\ k t & =[x]_0-[x] \\\\ t & =\frac{[x]_0-[x]}{k} \\\\ t & =\frac{8-1.5}{0.25}=26 \text { years } \end{aligned}}

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Nehul

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