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NEON has 2 ISOTOPES of differing mass and in different proportions shown below. Which option demonstrates how we calculate its relative atomic mass (A_(r)) in g/mol {}^20Ne:91% {}^22Ne:9% ((91+9)times (20+22))/(100)=42 ((91times 9)+(20times 22))/(100)=12.6 ((91+20)times (9+22))/(100)=7.11 ((91times 20)+(9times 22))/(100)=20.2

Question

NEON has 2 ISOTOPES of differing mass and in different
proportions shown below. Which option demonstrates how we
calculate its relative atomic mass (A_(r)) in g/mol
{}^20Ne:91% 
{}^22Ne:9% 
((91+9)times (20+22))/(100)=42
((91times 9)+(20times 22))/(100)=12.6
((91+20)times (9+22))/(100)=7.11
((91times 20)+(9times 22))/(100)=20.2

NEON has 2 ISOTOPES of differing mass and in different proportions shown below. Which option demonstrates how we calculate its relative atomic mass (A_(r)) in g/mol {}^20Ne:91% {}^22Ne:9% ((91+9)times (20+22))/(100)=42 ((91times 9)+(20times 22))/(100)=12.6 ((91+20)times (9+22))/(100)=7.11 ((91times 20)+(9times 22))/(100)=20.2

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IsaiahExpert · Tutor for 3 years

Answer

20.18 g/mol<br /><br />The relative atomic mass of Neon (Ne) is 20.18 g/mol. Among the options given, the correct calculation is \(\frac{(91 \times 20)+(9 \times 22)}{100}=20.2\), which is approximately equal to our calculated value.

Explain

## Step 1: Understand the problem<br />The problem is asking us to calculate the relative atomic mass of Neon (Ne). Neon has two isotopes, Ne-20 and Ne-22, with respective abundances of 91% and 9%. The relative atomic mass is calculated as the weighted average of the atomic masses of the isotopes, with the weights being the abundances of the isotopes.<br /><br />## Step 2: Identify the correct formula<br />The correct formula for calculating the relative atomic mass is to multiply the atomic mass of each isotope by its abundance (expressed as a decimal), and then sum up these results.<br /><br />### Formula: \(A = (m_1 \times p_1) + (m_2 \times p_2)\)<br /><br />where:<br />- \(m_1\) and \(m_2\) are the atomic masses of the isotopes,<br />- \(p_1\) and \(p_2\) are the abundances of the isotopes (expressed as decimals).<br /><br />## Step 3: Substitute the values into the formula<br />Substitute the atomic masses and abundances of the isotopes into the formula:<br /><br />### \(A = (20 \times 0.91) + (22 \times 0.09)\)<br /><br />## Step 4: Perform the calculations<br />Multiply the atomic masses by their respective abundances, and then add these results:<br /><br />### \(A = 18.2 + 1.98 = 20.18\)
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