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2. given the relative abundance of the following naturally occurring is…

Question

  1. given the relative abundance of the following naturally occurring isotopes of oxygen, calculate the average atomic mass of oxygen. show your work.

oxygen - 16: 99.76%
oxygen - 17: 0.037%
oxygen - 18: 0.204%

  1. calculate the atomic mass of chlorine. isotope cl - 35 has an atomic mass of 34.97 amu and a relative abundance of 75.77%. isotope cl - 37 has an atomic mass of 37.00 amu and a relative abundance of 24.23%. show your work.

Explanation:

Question 2:

Step1: Convert percentages to decimals

For oxygen - 16: \(99.76\%=0.9976\), for oxygen - 17: \(0.037\% = 0.00037\), for oxygen - 18: \(0.204\%=0.00204\)

Step2: Multiply mass of each isotope by its relative abundance (in decimal)

Oxygen - 16: \(16\times0.9976 = 15.9616\)
Oxygen - 17: \(17\times0.00037=0.00629\)
Oxygen - 18: \(18\times0.00204 = 0.03672\)

Step3: Sum the results

\(15.9616+0.00629 + 0.03672=16.00461\approx16.00\)

Step1: Convert percentages to decimals

For Cl - 35: \(75.77\%=0.7577\), for Cl - 37: \(24.23\%=0.2423\)

Step2: Multiply mass of each isotope by its relative abundance (in decimal)

Cl - 35: \(34.97\times0.7577=34.97\times(0.75 + 0.0077)=34.97\times0.75+34.97\times0.0077=26.2275+0.269269 = 26.496769\)
Cl - 37: \(37\times0.2423 = 8.9651\)

Step3: Sum the results

\(26.496769+8.9651=35.461869\approx35.46\)

Answer:

The average atomic mass of oxygen is approximately \(16.00\) amu.

Question 3: