Two isotopes of europium are 151eu and
153eu
Mass of 151eu = 150.9196 amu
Mass of 153eu = 152.9209 amu
Average atomic mass = 151.96 amu
Let x and y are the relative abundance
of two isotopes of europium are 151eu and 153eu
So, x% times 150.9196 + y% times 152.9209
= 151.96
x150.9196 + y152.9209 = 151.96
And x + y = 100% = 1, from here x = 1 –
y and y = 1 - x
Solve these equation by substitution,
By replacing x = 1-y, we get
(1-y)150.9196 + y152.9209 = 151.96
150.9196 – 150.9196y + y152.9209 = 151.96
2.0013y = 1.0404
Y =0.5199 = 51.99%
Using the value of y we get,
X = 1-y = 1-51.99 = 0.4801 = 48.01%
<span>So, relative abundance of two isotopes
of europium are 151eu and 153eu are 48.01% and 51.99% respectively</span>
