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kherson [118]
3 years ago
12

Cobalt-60 is used for radiotherapy. It has a half-life of 5.26 years. If 4 g of cobalt-60 is administered, how much remains in 3

years? A. 1.2 g B. 2.7 g C. 3.3 g D. 2.1 g E. 0.2 g
Mathematics
1 answer:
NISA [10]3 years ago
7 0

Answer:

B. 2.7 g

Step-by-step explanation:

The half life of a substance is the time taken for the substance to reduce to half of its original amount. It is given by:

A=A_o*(\frac{1}{2})^\frac{t}{t_{1/2}}\\  Where\ A\ is \ the \ amount \ of \ substance\ remaining\ after\ t\ years, \\A_o \ is \ the\ initial\ value\ of \ the\ substance,\ t_{1/2} is\ the\ half\ life\ and\\t\ is\ the\ years\ spent

Given that:

Ao = 4 g, t = 3 years, t(1/2) = 5.26 years. Therefore:

A=A_o*(\frac{1}{2})^\frac{t}{t_{1/2}}\\A=4*(\frac{1}{2} )^\frac{3}{5.26}=4*0.6735=2.7\\ A=2.7\ g

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