Answer:
55%
Explanation:
Let A represent isotope eu-151
Let B represent isotope eu-153
Let A% represent Abundance of isotope A (eu-151)
Let B represent abundance of isotope B (eu-153)
The abundance of isotope A (eu-151) can be obtained as follow:
Step 1:
Data obtained from the question include:
Atomic mass of Europium = 151.9 amu
Mass of isotope A (eu-151) = 151.0 amu
Mass of isotope B (eu-153) = 153.0
amu
Abundance of isotope A (eu-151) = A%
Abundance of B (eu-153) = B% = 100 - A%
Step 2:
Determination of the abundance of Abundance of isotope A (eu-151). This is illustrated below:
Atomic mass = [(Mass of A x A%)/100] + [(Mass of B x B%)/100]
151.9 = [(151 x A%)/100] + [(153x B%)/100]
151.9 = [(151 x A%)/100] + [(153x (100-A%))/100]
151.9 = [151A%/100] + [15300 -
153A%/100]
151.9 = (151A% + 15300 - 153A%) /100
Cross multiply to express in linear form
151.9 x100 = 151A% + 15300 - 153A%
15190 = 151A% + 15300 - 153A%
Collect like terms
15190 - 15300= 151A% - 153A%
- 110 = - 2A%
Divide both side by - 2
A% = - 110 / - 2
A% = 55%
Therefore the abundance of eu-151 is 55%
Answer:
The natural abundance of eu-153 is 45.0 %
The natural abundance of eu-151 is 55.0 %
Explanation:
Step 1: Data given
The atomic mass of europium is 151.9 amu.
eu-151 hass with a mass of 151.0 amu
eu153 hass a mass of 153.0 amu
Step 2: Calculate the percent natural abundance
natural abundance eu-151 = X
natural abundance eu-153 = 1-X
151.9 = 151.0* X + 153.0 * (1-X)
151.9 = 151.0X + 153.0 -153.0 X
-1.1 = -2.0 X
X = 0.55 = 55 %
The natural abundance of eu-153 is 45.0 %
The natural abundance of eu-151 is 55.0 %
