Question

The concentration of Si in an Fe-Si alloy is 0.25 wt%. What is the concentration in kilograms of Si per cubic meter of alloy? Densities of Si and Fe are 2.33 g/cm3 and 7.87 g/cm3, respectively. (40 pts.)

Answer 1

Concentration of Si in kilograms = 19.55 kg/m³

Step-by-step explanation:

given data

concentration of Si = 0.25 %

Densities of Si = 2.33 g/cm³ ×
`10^6` g/m³

Densities of Fe = 7.87 g/cm³ ×
`10^6` g/m³

solution

we know that Weight of Si is = 0.25 g or 0.00025 kg

so here Weight of Fe will be

Weight of Fe = 100 - 0.25

Weight of Fe = 99.75 g or 0.09975 kg

and we know

volume =
`(Wight)/(density)`

and

Concentration of Si in kilograms is express as

Concentration of Si in kilograms =
`\frac{\text{Weight of Si in 100 g of alloy}}{\text{Volume of 100 g of alloy}}` ................1

put here value and we get

Concentration of Si in kilograms =
`(0.00025)/((99.75)/(7.87* 10^6)+(0.25)/(2.23* 10^6))`

Concentration of Si in kilograms = 19.55 kg/m³