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the half-life of palladium-100, 100pd, is four days. (so half of any given quantity of 100pd will disintegrate in four days.) the initial mass of a sample is one gram.(a) find the mass that remains after 16 days.(b) find the mass m(t)that remains after t days.(c) find the inverse of this function and explain its meaning.(d) when will the mass be reduced to 0.01 g?

Respuesta :

first the formula of Remaining palladium is y=1*(1/2)^n
1 shows at first we have 1 gr of palladium
a)y=1*(1/2)^4=1/16
b)the mass m(t)that remains after t days is y=(1/2)^(t/4)
t=-4 log2 (y)
we can find time using this
d)t=-4 log 2 (0.01)=(-4)*(-6.67)=26.6

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