copper has two naturally occurring isotopes. Cu-63 has a mass of 62.939 amu and relative abundance of 69.17%. Use the atomic weight of copper to determine the mass of the other copper isotope.
How do I do this?
Atomic weight=62.939*.6917 + x (1-.6917)
solve for x
To solve for the mass of the other copper isotope, let's use the given information and formula to find the atomic weight of copper.
The atomic weight is calculated by taking the weighted average of the masses of its isotopes, based on their relative abundances.
Here's the formula we'll use:
Atomic weight = (Mass of isotope 1 * Relative abundance of isotope 1) + (Mass of isotope 2 * Relative abundance of isotope 2)
Let's plug in the values we know:
Atomic weight = (62.939 amu * 0.6917) + (x * (1 - 0.6917))
Now, we can calculate the atomic weight in terms of x:
Atomic weight = 43.5428863 + (x * 0.3083)
The atomic weight of copper is usually given as 63.546 amu. So, we can set up an equation to solve for x:
63.546 amu = 43.5428863 + (x * 0.3083)
Rearranging the equation to isolate x:
x * 0.3083 = 63.546 amu - 43.5428863
x * 0.3083 = 20.0031137
Now, we can solve for x by dividing both sides of the equation by 0.3083:
x = 20.0031137 / 0.3083
Calculating this value, we find that x is approximately 64.97 amu.
Therefore, the mass of the other copper isotope is approximately 64.97 amu.