# 1) Now, since we know it takes

1) Now, since we know it takes 6.022*10^23protons to make 1kg I want you to tell me how many protons thereare in the known universe using this data:

our star is: 1.989*10^30 kg

our galaxy is: 2*10^11 suns in mass

there are: 2.5*10^11 galaxies in the universe.

So, how many protons must there be in the Universe?

2) If there are 6.022*10^23 protons in 1 kg ofmass, and there are 10^3 grams in a kilogram, what is the mass ofone proton? (remember, scientific notation can be used to representreally small numbers too!)

1) Mass of 6.022 x 1023 protons = 1 kg

Mass of sun, Ms = 1.989 x 1030 kg

Mass of galaxy, Mg = 2 x 1011 suns in mass = 2 x1011 Ms

Number of galaxies, Ng = 2.5 x 1011

Therefore,

Total mass of universe

M = Ms x Mg x Ng

M = 1.989 x 1030 x 2 x 1011 x 2.5 x1011

M = 9.945 x 1055 kg

Total number of protons in universe = 6.022 x 1023 xM

= 6.022 x 1023 x 9.945 x 1055

= 6.022 x 1023 x 9.945 x 1055

= 5.989 x 1079 protons

Answer: Total number of protons in universe = 5.989 x1079 protons

2) Mass of 6.022 x 1023 protons = 1 kg

Mass of 1 proton = 1/(6.022 x 1023 )

= 1.66 x 10-25 kg

Answer: Mass of 1 proton = 1.66 x 10-25kg

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