Calculate the approximate volume of a uranium nucleus, (You can ignore the mass

Question

Calculate the approximate volume of a uranium nucleus, (You can ignore the mass defect in this calculation and simply take the mass of the nucleus to be equal to the sum of the masses of its nucleons.) Express your answer to two significant figures and include the appropriate units. Calculate the approximate density (in kg/m^3) of a uranium nucleus, (You can ignore the mass defect in this calculation and simply take the mass of the nucleus to be equal to the sum of the masses of its nucleons.) Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

a)

here,

radius = 7.5*10^-15 m

use,

volume=4/3*pi*r^3

v=4/3*pi*(7.5*10^-15)^3

v=1.77*10^-42 m

b)

density of nucleus, rho=M/volume

rho=235*(1.67*10^-27)/(1.77*10^-42)

rho=2.217*10^17 kg/m^3

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