Question

The half-life of Einsteinium 253 is 20.5 days. If you start with 5g

of Es-253, how many grams will you have after 31 days?

Answer 1

1.753 g

Explanation:

Half life of Einsteinium = 20.5 days

Time elapsed = 31 days

Initial quantity of the substance = 5g

The formula to apply is;

`N( t )=N_o( (1)/(2) )^{(t)/(t0.5) }`

Where

N(t)=quantity of a substance remaining

No =Initial quantity of the substance = 5g

t= time elapsed=31 days

t1/2 = half life of the substance= 20.5 days

N(t)=5 * {1/2} ^ {31/20.5}

N{t} = 5 * {0.5}^1.5

N{t} = 5*0.3506

N{t} =1.753 g