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 sample of brass

Question

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 sample 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

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RI SƠ 4 years 2021-08-13T23:49:28+00:00 2 Answers 86 views 0

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  1. minhkhoi
    0
    2021-08-13T23:50:38+00:00
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    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

  2. thongdat2
    0
    2021-08-13T23:50:41+00:00
    Reply

    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

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