2. Galvanized iron is iron that has a coating of zinc. The zinc protects the iro

Question

2. Galvanized iron is iron that has a coating of zinc. The zinc protects the iron from corrosion. Suppose that a rectangular piece of galvanized iron has a length of 3.33 cm, a width of 2.87 cm, and a mass of 6.7588 g. It?s placed in a solution of hydrochloric acid, causing its zinc coating to dissolve by reacting with the acid. The mass of the iron, now minus its coating of zinc, is 6.6626 g. How many layers of zinc atoms were in the iron?s zinc coat? (The zinc atoms are spherical and are touching one another in the coat. The diameter of a zinc atom is 2.70 x 10^-8 cm. The density of zinc is 7.14 g/cm^3.)

Explanation / Answer

Mass of Zinc = 6.7588 - 6.6626 = 0.0962 gm
density = 7.14 g/cm^3
volume = mass / density
    = 0.0962/ 7.14
     = 0.0134734 cm^3

height of zinc = volume / area of surface
   = 0.0134734 / (3.33*2.87)
    = 1.41*10^-3 cm
diameter of zinc is = 2.7*10^-8 cm
number of layers = 1.41*10^-3 / (2.7*10^-8 )
    = 52214
Answer: 52214

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