Question

You have 80 grams of a radioactive kind of vanadium. How much will be left after 48 days if it’s half-life is 16 days?

Answer 1

10 grams Vanadium will be left after 48 days

Further explanation:

Half-life is the time after which the chemical is reduced to half.

The reaming mass after half life is given by:

$mass\ fater\ half\ life=\frac{Original\ mass}{2}$

The formula for calculating the remaining mass after given time period is:

$Remaining\ substance=\frac{1}{2^n}*mass$

Here n is the number of half lives passed

Now,

Given

Mass=80 grams

Time= 48 days

Half-life = 16 days

The number of half lives will be:

$n=\frac{48}{16}=3$

Putting the values of n and mass in the formula

$Remaining\ substance=\frac{1}{2^3}*80\\=\frac{1}{8}*80\\=10\ grams$

10 grams Vanadium will be left after 48 days

Keywords: Half-life, radioactive

Learn more about half-life calculation at:

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