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Lana71 [14]
3 years ago
12

Density of copper is 8.96 g/cm3and density of zinc is 7.14 g/cm3. Brass is an alloy made of copper and zinc. You are given a sam

ple of brass with the density of 8.32 g/cm3. The price of zinc is $1.80/kg and price of copper is $6.13/kg. Determine the material cost for making one ton of the brass sample that you ha
Physics
2 answers:
kvasek [131]3 years ago
5 0

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

12345 [234]3 years ago
4 0

Answer:

  The Price of making 1 Ton of Brass is  =  $4180.4

Explanation:

Generally density of an alloy is mathematically represented as

              Z = \sum A *\rho

  Where Z is the Average density of an alloy

               A is the fraction of metal

               \rho 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

                8.32 g/cm^3 =\frac{y}{100} * 8.96 + \frac{(100 -x)}{100} * 7.14

=>              832 = 8.96y  + 714 - 7.14y

=>             8.96y - 7.14y = 832-714

=>              1.82y = 118

=>                    y = \frac{118}{1.82} = 64.84%

    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

                   = \frac{64.84}{100} * 907.185 = 588.29 Kg

And the price would be   = 588.29 * 6.13 = $3606

And the amount of zinc is  = \frac{35.16}{100} * 907.185 =318.97Kg

And the price would be   = 318.97 * 1.80= $574.146        

  The Price of making 1 Ton of Brass is  = 3606 + 574.146 = $4180.4

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