Calculating the Mass of 100 Trillion Uranium 238 Atoms | Physics Homework

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To calculate the mass of 100 trillion Uranium 238 atoms, one must first recognize that the atomic mass of Uranium 238 is 238 grams per mole. Using Avogadro's number, which is approximately 6.022 x 10^23 atoms per mole, the mass of a single Uranium 238 atom can be determined. The mass of one atom is found by dividing the atomic mass by Avogadro's number, resulting in approximately 3.95 x 10^-25 grams per atom. Multiplying this by 100 trillion atoms yields the total mass of about 3.95 grams. Accurate calculations are essential to arrive at the correct mass for the specified number of atoms.
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Homework Statement


What would be the mass of one hundred million million (100 000 000 000 000 = 1014) atoms of Uranium 238 (atomic mass is 238)?


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The Attempt at a Solution


I tried finding the mass of each particle by diving the avogadro constant by 238.. The answer multiplies by 10^14.. However, this gives the wrong answer
 
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Hi ehabmozart! :smile:

I tried finding the mass of each particle by diving the avogadro constant by 238..

Noo!

The mass of one mole(Avogadro number of molecules) is 238 grams , what is the mass of one molecule??

In other words, the mass of 5 identical boxes is 10kg, what's the mass of each box? :wink:
 

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