What amount of plutonuim would be left after 5000 years if you initially have 14 kilo- grams? The half-life of plutonium 240 is 6500 years.

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Answer 1 · 2016-10-08T23:12:00

$sf(8.2color(white)(x)"kg")$

$sf(M_t=M_0e^(-lambdat)$

$:.$ $sf(lnM_t=lnM_0-lambdat)$

$sf(lambda=0.693/t_(1/2)=0.693/6500=1.066xx10^(-4)color(white)(x)a^(-1)$

So:

$sf(lnM_t=ln14-(1.066xx10^(-4)xx5000)=2.64-0.533=2.107)$

From which:

$sf(M_t=8.2color(white)(x)kg)$