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qe 5. what is the average atomic mass of neon, if there are 175 atoms o…

Question

qe 5. what is the average atomic mass of neon, if there are 175 atoms of the 200 atom sample whose mass is 20 amu and the rest have a mass of 22 amu.
qa 20.3 amu
qa 22.2 amu
qa 21.0 amu
qa 22.0 amu
clear all

Explanation:

Step1: Find number of atoms with mass 22 amu

Assume total number of atoms is 200. Number of atoms with mass 22 amu is $200 - 175= 25$.

Step2: Calculate total mass

Total mass = (mass of 20 - amu atoms×number of 20 - amu atoms)+(mass of 22 - amu atoms×number of 22 - amu atoms). So, total mass = $(20\times175)+(22\times25)=3500 + 550=4050$ amu.

Step3: Calculate average atomic mass

Average atomic mass = $\frac{\text{total mass}}{\text{total number of atoms}}=\frac{4050}{200}=20.25\approx20.3$ amu.

Answer:

20.3 amu