(3) The percentage of two elements making up an alloy can be estimated from the following...

Transcribed Image Text:

(3) The percentage of two elements making up an alloy can be estimated from the following set of equations, which assume a simple mixing of the two components: Palloy = fP + fP2 f + f = 1 where fi is the fraction of the alloy volume composed of element 1, f2 is the fraction of the alloy volume composed of element 2, Palloy is the density of the alloy, and and 2 are the densities of the two constituents. Solve these two equations algebraically to derive formulas for fi and f2. Next, plug into your new formulas the density you measured for steel (Palloy) along with the known densities of its two a) components (p and ) to estimate fi and f2, the percentage of each component in the steel alloy of your sphere. Hint: this is just an algebra problem with two equations and two unknowns, similar to solving a simple problem like this 2x + 3y = 8 x + y = 1 The algebra steps needed to solve the system of equations in the box above for fiand fis similar to solving a 2x2 algebra problem for x and y. Show your work below. Estimated percentage of element #1 in ball bearing: Estimated percentage of element #2 in ball bearing: (3) The percentage of two elements making up an alloy can be estimated from the following set of equations, which assume a simple mixing of the two components: Palloy = fP + fP2 f + f = 1 where fi is the fraction of the alloy volume composed of element 1, f2 is the fraction of the alloy volume composed of element 2, Palloy is the density of the alloy, and and 2 are the densities of the two constituents. Solve these two equations algebraically to derive formulas for fi and f2. Next, plug into your new formulas the density you measured for steel (Palloy) along with the known densities of its two a) components (p and ) to estimate fi and f2, the percentage of each component in the steel alloy of your sphere. Hint: this is just an algebra problem with two equations and two unknowns, similar to solving a simple problem like this 2x + 3y = 8 x + y = 1 The algebra steps needed to solve the system of equations in the box above for fiand fis similar to solving a 2x2 algebra problem for x and y. Show your work below. Estimated percentage of element #1 in ball bearing: Estimated percentage of element #2 in ball bearing:

Answer rating: 100% (QA)

To solve the system of equations and derive the formulas for f1 a... View the full answer