How to figure out the mass of 1ml. of protons?

In summary, to figure out the mass of 1 ml of protons, we first need to clarify if we are talking about milliliters or moles. If we are talking about moles, then one mole of protons is equal to Avagadro's constant, which is approximately 6.0221415 × 10^23 particles. The mass of a proton is 1.6726231 x 10^-27 kg. If we are talking about milliliters, we can estimate the number of protons that would "fill up" a milliliter by cubing the size of a proton, which is on the order of a femptometer (10^-15 m). This would result in approximately
  • #1
tish
1
0
Can someone show me how to figure out the mass of 1ml. of protons?

I have been out of school for 20yrs. and have no clue as to how to do this.[
 
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  • #2
ml stands for milliliter and that's a volume unit... Perhaps you mean mol?
In that case, 1 mol is a number of particles which equals Avagadro's constant, approx 6.0221415 × 10^23. The mass of a proton is 1.6726231 x 10^-27 kg.
 
  • #3
If you do mean milliliter, and if we are talking about the fanciful notion of "if you could pack protons into a milliliter so that they "fill it up" and are all side by side...

Start with the size of the proton which is on at the order of a femptometer (10^-15 m). Since a mililiter is the same as a cubic centimeter, you could say a proton is 10^-13 cm across, therefore 10^13 protons lined up in a row would be 1 cm long.

Cube this number, and you have the number of protons that "fill up" a milliliter: 10^39 protons. Where did that electrostatic force go anyway?

So if each proton has a mass of 1.7 x 10^-27 kg, then the milliliter "full" of protons would have a mass of 1.7 x 10^12 kg. That's about two trillion kilograms.
 

1. How do you determine the mass of 1ml of protons using the mass spectrometer?

The mass spectrometer is a scientific instrument that can accurately measure the mass of individual particles, including protons. By passing a beam of protons through a magnetic field, the instrument can separate the particles based on their mass-to-charge ratio. By analyzing the deflection of the particles, the mass of the protons can be determined.

2. What is the relationship between the mass of 1ml of protons and Avogadro's number?

Avogadro's number is a constant that represents the number of particles in one mole of a substance. In the case of protons, there are approximately 6.022 x 10^23 protons in one mole. Therefore, the mass of 1 mole of protons would be equal to the mass of 6.022 x 10^23 protons.

3. Can the mass of 1ml of protons vary?

The mass of 1ml of protons is a constant value and does not vary. Protons have a set mass of approximately 1.67 x 10^-27 kilograms, regardless of the amount or volume of protons present.

4. How does the mass of 1ml of protons compare to the mass of 1ml of neutrons and electrons?

The mass of 1ml of protons is significantly larger than the mass of 1ml of neutrons and electrons. Neutrons and protons have a mass of approximately 1.67 x 10^-27 kilograms, while electrons have a significantly smaller mass of approximately 9.11 x 10^-31 kilograms.

5. Is it possible to measure the mass of 1ml of protons using a scale?

Due to the extremely small size of protons, it is not possible to directly measure their mass using a scale. However, the mass of protons can be determined indirectly using scientific instruments such as the mass spectrometer as mentioned earlier.

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