- #1
myelevatorbeat
- 55
- 0
First, here is the question:
The percentage of two elements making up an alloy can be estimated from the following equations, which assume a simple mixing of the two components:
Palloy=F1P1+F2P2
F1+F2=1
Here, F1 is the fraction of the alloy composed of element 1, and F2 is the fraction of the alloy composed of element 2. Again, these equations provide only an estimate because the formation of an alloy typically involves processes more complex than simple mixing. Solve these equations algabraically to derive formulas for f1 and f2. Next, plug in your measured density for steel and the spec densities of the two elemental components to estimate f1 and f2, the percentage of each component in the steel alloy of your sphere.
This is what I did so far but I don't really have a clue if it's wrong:
F1=Palloy - F2P2 / P1
F2=Palloy - F1P1 / P2
and F1=1-F2
F2=1-F1
I don't have a clue where to go from here. If someone could give me a hint on how to get started, I would really appreciate it.
So far, I was calculating it by:
x+y = 0.0282 kg (the mass of my steel ball)
x/1700 + y/7874 = 3.5914 x 10^-6
with
1700 =density of carbon
7874 = density of iron
3.5914 x 10^-6 = volume of ball
I don't think this way really follows the above formulas though.
So, would it be better to go 7852=1700x + 7874y
with
7852 = density of my ball bearing
1700=carbon density
7874=iron density
Also, how could I go about solving the above equation since I don't know what x or y are.
The percentage of two elements making up an alloy can be estimated from the following equations, which assume a simple mixing of the two components:
Palloy=F1P1+F2P2
F1+F2=1
Here, F1 is the fraction of the alloy composed of element 1, and F2 is the fraction of the alloy composed of element 2. Again, these equations provide only an estimate because the formation of an alloy typically involves processes more complex than simple mixing. Solve these equations algabraically to derive formulas for f1 and f2. Next, plug in your measured density for steel and the spec densities of the two elemental components to estimate f1 and f2, the percentage of each component in the steel alloy of your sphere.
This is what I did so far but I don't really have a clue if it's wrong:
F1=Palloy - F2P2 / P1
F2=Palloy - F1P1 / P2
and F1=1-F2
F2=1-F1
I don't have a clue where to go from here. If someone could give me a hint on how to get started, I would really appreciate it.
So far, I was calculating it by:
x+y = 0.0282 kg (the mass of my steel ball)
x/1700 + y/7874 = 3.5914 x 10^-6
with
1700 =density of carbon
7874 = density of iron
3.5914 x 10^-6 = volume of ball
I don't think this way really follows the above formulas though.
So, would it be better to go 7852=1700x + 7874y
with
7852 = density of my ball bearing
1700=carbon density
7874=iron density
Also, how could I go about solving the above equation since I don't know what x or y are.