Question

In: Physics

1) Now, since we know it takes 6.022*10^23 protons to make 1kg I want you to...

1) Now, since we know it takes 6.022*10^23 protons to make 1kg I want you to tell me how many protons there are 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 of mass, and there are 10^3 grams in a kilogram, what is the mass of one proton? (remember, scientific notation can be used to represent really small numbers too!)

Expert Solution

1) Mass of 6.022 x 10²³ protons = 1 kg

Mass of sun, M_s = 1.989 x 10³⁰ kg

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

Number of galaxies, N_g = 2.5 x 10¹¹

Therefore,

Total mass of universe

M = M_s x M_g x N_g

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

M = 9.945 x 10⁵⁵ kg

Total number of protons in universe = 6.022 x 10²³ x M

= 6.022 x 10²³ x 9.945 x 10⁵⁵

= 5.989 x 10⁷⁹ protons

Answer: Total number of protons in universe = 5.989 x 10⁷⁹ 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^-25 kg

_________________________

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genius_generous answered 2 years ago

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1) Now, since we know it takes 6.022*10^23 protons to make 1kg I want you to...

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