Calculate mass from particles and molar mass, or find the missing value using Avogadro's number with g, kg, lb, and g/mol or kg/mol units.
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Mass From Particles Formula
The following formula is used to calculate the Mass From Particles.
- Where Mp is the Mass From Particles (g)
- P is the total number of particles
- mm is the molar mass of substance (g/mol)
To calculate mass from the number of particles, divide the number of particles by Avogadro’s number, then multiply by the molar mass.
| Particles (N) | Mass (g) | Mass (kg) | Mass (lb) |
|---|---|---|---|
| 1e19 | 0.000299146 | 0.000000299 | 0.000000660 |
| 3e19 | 0.000897438 | 0.000000897 | 0.000001979 |
| 1e20 | 0.00299146 | 0.000002991 | 0.000006595 |
| 3e20 | 0.00897438 | 0.000008974 | 0.000019785 |
| 1e21 | 0.0299146 | 0.000029915 | 0.000065950 |
| 3e21 | 0.0897438 | 0.000089744 | 0.000197851 |
| 1e22 | 0.299146 | 0.000299146 | 0.000659504 |
| 2.5e22 | 0.747865 | 0.000747865 | 0.001648761 |
| 5e22 | 1.49573 | 0.001495731 | 0.003297521 |
| 7.5e22 | 2.24360 | 0.002243596 | 0.004946282 |
| 1e23 | 2.99146 | 0.002991461 | 0.006595043 |
| 1.5e23 | 4.48719 | 0.004487192 | 0.009892564 |
| 2e23 | 5.98292 | 0.005982922 | 0.013190086 |
| 3e23 | 8.97438 | 0.008974383 | 0.019785129 |
| 4e23 | 11.9658 | 0.011965845 | 0.026380172 |
| 5e23 | 14.9573 | 0.014957306 | 0.032975214 |
| 6e23 | 17.9488 | 0.017948767 | 0.039570257 |
| 6.022e23 | 18.0146 | 0.018014579 | 0.039715348 |
| 1e24 | 29.9146 | 0.029914611 | 0.065950429 |
| 2e24 | 59.8292 | 0.059829223 | 0.131900858 |
| Assumes water molecules (molar mass M = 18.015 g/mol). Avogadro’s number NA = 6.02214076×1023 mol−1. Mass computed by m = (N / NA) × M. 1 lb = 453.59237 g exactly. Values rounded. | |||
How to Calculate Mass From Particles?
The following example problems outline how to calculate Mass From Particles.
Example Problem #1:
- First, determine the total number of particles.
- The total number of particles is given as 15e24.
- Next, determine the molar mass of substance (g/mol).
- The molar mass of substance (g/mol) is provided as 13.
- Finally, calculate the Mass From Particles using the equation above:
Mp = P / 6.02214076e23 * mm
The values given above are inserted into the equation below and the solution is calculated:
Mp = 15e24 / 6.02214076e23 * 13 = 323.805 (g)
Example Problem #2:
For this problem, the variables needed are provided below:
total number of particles = 16e20
molar mass of substance (g/mol) = 40
This example problem is a test of your knowledge on the subject. Use the calculator above to check your answer.
Mp = P / 6.02214076e23 * mm = ?
