If the relative atomic mass of two isotopes 35m and 37m is 35.5.calculate the relative abundance of 37m.
35x + 37(1-x) = 35.5
x = 0.75
so, 75% 35m and 25% 37m
Or, just note that 35.5 is 25% of the way from 35 to 37, so 25% of the total is 37m.
To find the relative abundance of 37m, we need to set up a system of equations based on the information given.
Let's assume the relative abundance of the isotope 35m is x, and the relative abundance of the isotope 37m is (1 - x) since the total abundance of the isotopes is 100%.
The relative atomic mass (RAM) is calculated by multiplying the relative abundance of each isotope by its mass number and summing them up.
Mathematically, we can set up the equation as follows:
(x * 35) + ((1 - x) * 37) = 35.5
Now, let's solve the equation to find the value of x, which represents the relative abundance of 37m:
35x + 37 - 37x = 35.5
-2x = -1.5
x = 0.75
Therefore, the relative abundance of the isotope 37m is 0.75 or 75%.