Question

A radioactive substance has a half life of h days.Find a formula for its mass m in term of t ,the time ,if the initial mass is Mo.what is its initial decay rate?
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Answer 1

Here's the answer in the given attachment

hope it's correct ✌️✌️

Answer 2

Answer:

Mass(at t) =m

$\frac{dM}{dt} = rate \: of \: change \: of \: mass$

Also,

$\frac{dM}{dt} is \: directly \: proportional \: to \: M$

$| \frac{dM}{dt} = - | kdt$

where k is constant

$= log_{(M)} = - kt + c.......1$

$at \: t =0 \: \: \: m = {M}0$

$so \: log(m) = - kt + log(m0) ......2$

$at \: t = h \: \: \: \: m = \frac{1}{2} m0(half \: time)$

$log( \frac{m0}{2} ) = - kh + log(m0)$

$log(m0 ) - log(2) = - kh + log(m0)$

$log(2) = kh$

$k = \frac{1}{2} log(2)$

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MARK BRAINLIEST