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.)

Respuesta :

Answer:

Concentration of Si in kilograms = 19.55 kg/m³

Explanation:

given data

concentration of Si = 0.25 %

Densities of Si  = 2.33 g/cm³  × [tex]10^6[/tex] g/m³

Densities of Fe = 7.87 g/cm³  × [tex]10^6[/tex] 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 = [tex]\frac{Wight}{density}[/tex]    

and

Concentration of Si in kilograms is express as

Concentration of Si in kilograms =  [tex]\frac{\text{Weight of Si in 100 g of alloy}}{\text{Volume of 100 g of alloy}}[/tex]    ................1

put here value and we get

Concentration of Si in kilograms = [tex]\frac{0.00025}{\frac{99.75}{7.87\times 10^6}+\frac{0.25}{2.23\times 10^6}}[/tex]  

Concentration of Si in kilograms = 19.55 kg/m³