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Eva8 [605]
3 years ago
5

A 60.0-g sample of fermium-253 was placed in a sealed vessel 9.0 days ago. Only 7.5 g of this isotope is now left. What is the h

alf-life of fermium-253?
Chemistry
2 answers:
melamori03 [73]3 years ago
5 0

Answer: 3.02 days

Explanation: This is a type of radioactive decay and all the radioactive process follow first order kinetics.


Equation: Expression for rate law for first order kinetics is given by:


k=\frac{2.303}{t}\log\frac{a}{a-x}


where,


k = rate constant


t = time taken for decay process


a = initial amount of the reactant


(a - x) = amount left after decay process


Putting values in above equation, we get:


k=\frac{2.303}{9.0}\log\frac{60.0g}{7.5g}= 0.23days^{-1}

To calculate the half life, we use the formula:

t_{1/2}=\frac{0.693}{k}

t_{1/2}=\frac{0.693}{0.23}=3.02days


bogdanovich [222]3 years ago
4 0
The answer is 3.0 Days
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