The nucleus of a hydrogen atom is a single proton. The radius of a proton is app

Question

    The nucleus of a hydrogen atom is a single proton. The radius of a proton is approximately 1 fm. <?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" />

a)       What is the approximate volume of a proton?

____________________ m^3

b)       A hydrogen atom has an approximate radius of 5e-11 m (called the Bohr radius). What is the approximate volume of a hydrogen atom?

____________________ m^3

c)       What fraction of a hydrogen atom is occupied by the nucleus?

____________________

Explanation / Answer

a) V = 4/3?*r^3 V (proton) = 4/3?*r^3 = 4/3?*(1x10^-15m)^3 =4.2x10^-45m^3

b) V Atom = 4/3?*r^3 = 4/3?*(5x10^-11m)^3 =5.2x10^-31m^3

c) V proton / V atom = 4.2*10^-45 / 5.2*10^-31 = 8.077*10^-15 m^3

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