Question #9b036

1 Answer
Aug 23, 2017

Natural abundance: 50.69%50.69%

Mass: 79.91979.919 "amu"amu

Explanation:

The natural abundance of "Br-81"Br-81 is 49.31%49.31%.

This means that 49.31%49.31% of all of the world's bromine "Br"Br exists in the form of "Br-81"Br-81.

As there is only one other isotope of bromine, 100% - 49.31% = 50.69%100%49.31%=50.69% of it exists in the form of "Br-79"Br-79.

Therefore, the natural abundance of "Br-79"Br-79 is 50.69%50.69%

The atomic mass of bromine is 79.90479.904 "amu"amu.

Rightarrow 79.90479.904 "amu"amu = 50.69% times x + 49.31% times 80.9163=50.69%×x+49.31%×80.9163 "amu"amu

We need to solve for xx, which in this case is the mass of "Br-79"Br-79:

Rightarrow 79.90479.904 "amu"amu = 0.5069 x + 0.4931 times 80.9163=0.5069x+0.4931×80.9163 "amu"amu

Rightarrow 79.90479.904 "amu"amu = 0.5069 x + 39.89982753=0.5069x+39.89982753 "amu"amu

Rightarrow 40.0041724740.00417247 "amu"amu = 0.5069 x=0.5069x

Rightarrow 78.91925916478.919259164 "amu"amu = x=x

therefore x = 78.919 "amu"

Therefore, the mass of "Br-79" is 79.919 "amu".