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  • Is a Penny Pure Copper? Density Calculation & Analysis
    Solution:

    Given:

    Mass of a penny, \(m = 2.49 g\)

    Volume of a penny, \(V = 0.349 cm^3\)

    Converting \(cm^3\) to \(m^3\):

    $$(0.349 cm^3) (10^{-6} m^3/cm^3)=3.49 \times 10^{-7} m^3$$

    Density of copper, \(\rho_{cu} = 8.96 g/cm^3\)

    If the penny were made of pure copper, its density would be equal to that of copper:

    $$\rho_{penny} = \frac{m}{V} = \frac{2.49 g}{3.49 \times 10^{-7} m^3}=7.10 \times 10^6 kg/m^3$$

    Since the calculated density of the penny is lower than that of copper, the penny is not made of pure copper.

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