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

In summary, the conversation discusses the method for finding the mass of one hundred million million atoms of Uranium 238. The solution involves dividing the Avogadro constant by 238, but this method yields the wrong answer. The correct approach is to find the mass of one molecule, which can be calculated using the mass of one mole (Avogadro number of molecules).
  • #1
ehabmozart
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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)?


Homework Equations





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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  • #2
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:
 

1. How do you calculate the mass of 100 trillion Uranium 238 atoms?

The mass of 100 trillion Uranium 238 atoms can be calculated by using the atomic mass of Uranium 238, which is 238.03 grams per mole. This means that one mole of Uranium 238 atoms has a mass of 238.03 grams. To find the mass of 100 trillion atoms, we can use the formula: mass = number of atoms x atomic mass. Therefore, the mass of 100 trillion Uranium 238 atoms would be 238.03 grams x 100 trillion = 2.38 x 10^16 grams.

2. What is the atomic mass of Uranium 238?

The atomic mass of Uranium 238 is 238.03 grams per mole. This means that one mole of Uranium 238 atoms has a mass of 238.03 grams.

3. How many grams are in a mole of Uranium 238 atoms?

There are 238.03 grams in one mole of Uranium 238 atoms. This is the standard atomic mass of Uranium 238, which is the average mass of all the naturally occurring isotopes of this element.

4. Can the mass of 100 trillion Uranium 238 atoms be measured in other units?

Yes, the mass of 100 trillion Uranium 238 atoms can be measured in other units such as kilograms, milligrams, or even pounds. It all depends on the unit of measurement that is most appropriate for the given situation.

5. How does the mass of 100 trillion Uranium 238 atoms compare to other objects?

The mass of 100 trillion Uranium 238 atoms is a very small amount compared to other objects. For example, the mass of a human body is estimated to be around 70 kilograms, which is equivalent to 70,000 grams. In comparison, the mass of 100 trillion Uranium 238 atoms is only 2.38 x 10^16 grams, which is a very small fraction of the mass of a human body.

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