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The mass of Earth is 5.98x10^24 kg, and the mass of a single proton is 1.673x10^-27 kg. Assuming Earth is made entirely of protons, use an order-of-magnitude calculation to estimate the number of protons that make up Earth. Then, calculate the exact number of protons and express the answer in scientific notation with the correct number of significant digits.

 Dec 15, 2014

Best Answer 

 #1
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To find the number of protons given those assumptions, divide the mass of the Earth by the mass of a single proton.

As an order of magnitude estimate, divide 1024 by 10-27:   1024 / 10-27  =  1024 - -27  =  10?

For a more exact answer:    (5.98 x 1024) / (1.67 x 10-27)  =  (5.98/1.67) x 1024 - -27  =  ?

 Dec 15, 2014
 #1
avatar+23254 
+5
Best Answer

To find the number of protons given those assumptions, divide the mass of the Earth by the mass of a single proton.

As an order of magnitude estimate, divide 1024 by 10-27:   1024 / 10-27  =  1024 - -27  =  10?

For a more exact answer:    (5.98 x 1024) / (1.67 x 10-27)  =  (5.98/1.67) x 1024 - -27  =  ?

geno3141 Dec 15, 2014
 #2
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7214584578601315002988643156007172743574417214.584578601315002988643156007172744

 

That big a**e number is your answer :P

 Dec 15, 2014

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