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2 September, 15:23

The diameter of the he nucleus is about 2.0 fm. assuming the nucleus to be a sphere, calculate its density in g/cm3.

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  1. 2 September, 15:29
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    Let us define first the unit of fm which means femtometer. It is equivalent to 10⁻¹⁵ of a meter. If you convert this to centimeter, the conversion would be 1 fm = 10⁻¹³ cm. Let's solve for the volume of the sphere of the nucleus:

    V = 1/4*πd² = 1/4*π*[2 fm * (10⁻¹³ cm/1 fm) ]²

    V = 3.1416*10⁻²⁶ cm³

    The mass of the nucleus should be known to determine the density. According to literature, the mass of a Helium nucleus is 6.64 * 10⁻²⁴ g.

    Density = 6.64 * 10⁻²⁴ g/3.1416*10⁻²⁶ cm³

    Density = 211.36 g/cm³
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