Earth MAss if Helium and Hydrogen in suns propotions were added,

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SUMMARY

The discussion focuses on calculating the mass of Earth if hydrogen and helium were added in proportions similar to those found in the Sun. The mass of silicon in Earth is given as 7x10^23 kg, with hydrogen and helium ratios to silicon being 850 and 250, respectively. By applying these ratios, the calculated mass of hydrogen is 5.95x10^26 kg and helium is 1.75x10^26 kg, resulting in a total mass of 7.76x10^26 kg when added to Earth's current mass of 6x10^24 kg. This total exceeds the mass of Saturn, which is approximately 100 times the mass of Earth.

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TFM
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Homework Statement



The mass of silicon in the Earth is estimated to be 7x10^23 kg. The ratios of the masses of Hyrdogen and Helium to silicon in the sun are: H/Si = 850, He/Si = 250. Calculate the mass of the the body thatwould have been produced if H and He had been added to the Earth (present day mass M_E = 6x10^24 kg) in the smae proportions to Si as they are in the sun, esxpressing your answer as a multiple of M_E. How does this result compare with the mass of Saturn (= 100M_E)

Homework Equations





The Attempt at a Solution



does this question need me to convert the masses into number of molecules, or do I simply times the mass of Silicon by 250 and 850, and adde it to the mass of the the Earth?

Any help would be most appreciated,

TFM
 
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If I just do it by mass an not atoms, I get a value of 5.95*10^26 for Hydrogen and 1.75*10^26 for Helium. Add this on to the mass of the Earth and I get 7.76*10^26, which is just over the mass of Saturn, does this look like the right thing to do?

TFM
 

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