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Q.

The average atomic mass of neon based on following data is 

Isotope

Relative abundance

 20Ne

0.9051

 21Ne

0.0027

 22Ne

0.0922

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a

20.187 u 

b

0.33 u 

c

18.058 u

d

6.729 u

answer is B.

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Detailed Solution

To calculate the neon atomic mass, we need to consider the isotopes of neon and their respective natural abundances. Neon consists of three stable isotopes:

  • Neon-20: Mass = 19.9924 u, Abundance = 90.51%
  • Neon-21: Mass = 20.9940 u, Abundance = 0.27%
  • Neon-22: Mass = 21.9914 u, Abundance = 9.22%

Calculation Steps for the Neon Atomic Mass

We can calculate the neon atomic mass by following a step-by-step process:

Step 1: Convert Percentages to Decimal Form

  • Neon-20: 90.51% = 0.9051
  • Neon-21: 0.27% = 0.0027
  • Neon-22: 9.22% = 0.0922

Step 2: Multiply Each Isotope's Mass by Its Abundance

We now multiply the mass of each isotope by its abundance in decimal form:

  • Neon-20: 19.9924 u × 0.9051 = 18.1015 u
  • Neon-21: 20.9940 u × 0.0027 = 0.0567 u
  • Neon-22: 21.9914 u × 0.0922 = 2.0272 u

Step 3: Sum the Results to Find the Average Atomic Mass

Now, add the results from step 2:

  • 18.1015 u + 0.0567 u + 2.0272 u = 20.1854 u
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