In the leading theory of the origin of the universe, the entire universe that we

Question

            In the leading theory of the origin of the universe, the entire universe that we can now observe occupied, at a very early time, a sphere whose radius was approximately equal to the present distance of the earth to the sun. At that time the universe had a density (mass divided by volume) of 1015g/cm3. Assuming that one-third of the particles were protons, one-third of the particles were neutrons, and the remaining one-third were electrons, how many particles then made up the universe?          Express your answer using two significant figures.             In the leading theory of the origin of the universe, the entire universe that we can now observe occupied, at a very early time, a sphere whose radius was approximately equal to the present distance of the earth to the sun. At that time the universe had a density (mass divided by volume) of 1015g/cm3. Assuming that one-third of the particles were protons, one-third of the particles were neutrons, and the remaining one-third were electrons, how many particles then made up the universe?          Express your answer using two significant figures.

Explanation / Answer

According tour update in density = 10^15 g.cm2 = 10^18kg/m3

= 10^18 = (n/3*1.6726*10^-27+n/3*1.6749*10^-27+n/3*9.31*10^-31) / (4*pi/.3)*(1.49X10^11))^3

= 10^18*(4*pi/3) * ( 1.49^3 X 10^33) = n ((1/3*1.6726*10^-27+1/3*1.6749*10^-27+1/3*9.31*10^-31)

= 1.3856*10^52 = n (1.1161*10^-27)

===> n = 1.2414 *10^79

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