The concentration of carbon in an iron-carbon alloy is 0.73 wt%. What is the concentration in kilograms of carbon per cubic meter of alloy? The densities of iron and carbon are 7.87 and 2.25 g/cm3, respectively.

Answer : The concentration in kilograms of carbon per cubic meter of alloy is,

Explanation :

As we are given that 0.73 wt% carbon in an iron-carbon alloy. That means,

Mass of carbon = 0.73 g =

Mass of alloy = 100 g

Now we have to calculate the mass of Fe.

Mass of Fe = Mass of alloy - Mass of C

Mass of Fe = 100 g - 0.73 g

Mass of Fe = 99.27 g

Given:

Density of C =

Density of Fe =

Now we have to calculate the volume of alloy.

Volume of alloy =

Volume of alloy =

Volume of alloy =

Now we have to calculate the concentration in kilograms of carbon per cubic meter of alloy.

Therefore, the concentration in kilograms of carbon per cubic meter of alloy is,