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24. calculate the atomic mass of silicon based on the following informa…

Question

  1. calculate the atomic mass of silicon based on the following information:

the natural abundance of si - 28 (mass = 27.98 amu) is 92.23%. for si - 29 (mass = 28.98 amu), it is
4.67%, and for si - 30 (mass = 29.97 amu), it is 3.10%. show your work.

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  1. calculate the atomic mass of c by using the data from carbon isotopes. show your work.

the abundance of c is 98.93%. c is another naturally occurring isotope. what is the percent
abundance of c?

Explanation:

Step1: Calculate the contribution of Si - 28

Multiply the mass of Si - 28 by its abundance.
\(27.98\times0.9223 = 25.816954\)

Step2: Calculate the contribution of Si - 29

Multiply the mass of Si - 29 by its abundance.
\(28.98\times0.0467=1.353366\)

Step3: Calculate the contribution of Si - 30

Multiply the mass of Si - 30 by its abundance.
\(29.97\times0.0310 = 0.92907\)

Step4: Sum up the contributions

Add the results from the previous steps.
\(25.816954+1.353366 + 0.92907=28.1\)

Answer:

The atomic mass of silicon is \(28.1\) amu.