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27 September, 10:36

A piece of gold wire has a diameter of. 175cm. How much will precisely 1.00 x 10^5 cm of the wire weigh

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  1. 27 September, 10:39
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    The main information we have to use here is the density of gold. From literature, the density of gold at room temperature is 19.32 g/cm³. To determine the mass, let's calculate the volume first. A wire is in the shape of a cylinder. Thus, the volume would be

    V = πd²h/4

    V = π (0.175 cm) ² (1*10⁵ cm) / 4

    V = 2,405.28 cm³

    Density = mass/volume

    19.32 g/cm³ = Mass/2,405.28 cm³

    Mass = 46,470 g gold wire
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