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In: Chemistry

A piece of copper wire is 50ft long and has a dimater of 2.0 mm. Copper...

A piece of copper wire is 50ft long and has a dimater of 2.0 mm. Copper has a denisty of 8.92 g/cm3. What is the mass of copper? Express the answer in kg. (1ft = 30.48 cm, 1 cm = 10 mm and Volume is 3.14 x r2x1)

Please explain and help ! :(

Solutions

Expert Solution

length (l) =50 ft

               = 50 x 30 .48 cm

                = 1524 cm

diameter (2r) = 2mm

                       = 2/ 10

                       = 0.2 cm

radius (r) = 0.1 cm

Volume = Area x length

             = 3.14 x r2x l

             = 3.14 x (0.1 )2 x 1524

             = 47.85 cm3

density = mass / volume

mass = density x volume

          = 8.92 x 47.85

           = 426.85 g

mass of wire = 0.427 Kg


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