Answer:
The material cost for making one ton of the brass sample that I have is $8149.04.
Explanation:
Density of copper = 8.96 g/cm^3 = 8.96×10^-3 kg/cm^3
Price of copper = $6.13/kg
Price of copper per volume = 8.96×10^-3 kg/cm^3 × $6.13/kg = $0.0549/cm^3
Density of zinc = 7.14 g/cm^3 = 7.14×10^-3 kg/cm^3
Price of zinc = $1.8/kg
Price of zinc per volume = 7.14×10^-3 kg/cm^3 × $1.8/kg = $0.0129/cm^3
Price of brass per volume = 0.0549 + 0.0129 = $0.0678/cm^3
Density of brass I have is 8.32 g/cm^3 = 8.32 g/cm^3 × 1 kg/1000 g × 1 ton/1000 kg = 8.32×10^-6 ton/cm^3
Price = $0.0678/cm^3 ÷ 8.32×10^-6 ton/cm^3 = $8149.04/ton
Answer:
The Price of making 1 Ton of Brass is = $4180.4
Explanation:
Generally density of an alloy is mathematically represented as
[tex]Z = \sum A *\rho[/tex]
Where Z is the Average density of an alloy
A is the fraction of metal
[tex]\rho[/tex] is the density of metal
From the question we are told that brass is an alloy made of copper and zinc
Let assume that the percentage of copper in Brass is y%
The the percentage of the zinc would be (100 - y )%
Substituting this into the formula
[tex]8.32 g/cm^3 =\frac{y}{100} * 8.96 + \frac{(100 -x)}{100} * 7.14[/tex]
=> [tex]832 = 8.96y + 714 - 7.14y[/tex]
=> [tex]8.96y - 7.14y = 832-714[/tex]
=> [tex]1.82y = 118[/tex]
=> [tex]y = \frac{118}{1.82} = 64.84[/tex]%
This implies that the percentage of copper in Brass is 64.84%
This mean that the percentage of zinc in Brass is (100- 64.84) = 35.16%
Generally One Ton of Brass = 907.185Kg
So amount of copper in this is
[tex]= \frac{64.84}{100} * 907.185 = 588.29 Kg[/tex]
And the price would be [tex]= 588.29 * 6.13 =[/tex] $3606
And the amount of zinc is [tex]= \frac{35.16}{100} * 907.185 =318.97Kg[/tex]
And the price would be [tex]= 318.97 * 1.80=[/tex] $574.146
The Price of making 1 Ton of Brass is = 3606 + 574.146 = $4180.4
