The single proton that forms the nucleus of the hydrogen atom has a radius of approximately 1.0×10−13 cm. The hydrogen atom itself has a radius of approximately 52.9±. What fraction of the space within the atom is occupied by the nucleus?

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kalfswors0m · Accepted Answer

Radius of nucleus: 1.0×10−13cm    Radius of hydrogn atom: 52.9 πcometer (±)    Now, covert the given values in a single unit of measurement:    cm→m    1.0×10−13cm×1m100cm=1.0×10−15m    πcometer→m    52.9×1.0×10−12m1±=5.29×10−11m    Get the volume of the nucleus and the volume of the atom using:    Vsphere=43πr3    For atom:    Va→m=43π(5.29×10−11m)3    Va→m=6.2009×10−31m3    For nucleus    Vνc≤us=43π(1.0×10−15m)3    Vνc≤us=4.1888×10−45m3    Now, use this frmula to find the fraction of the space within the atom is occupied by the nucleus: X=Vνc≤usVa→m    X=4.1888×10−45m36.2009×10−31m3    X=6.7551×10−15

The single proton that forms the nucleus of the hydrogen

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