# Problem: A certain element X has four isotopes. • 5.845% of X has a mass of 53.93961 amu. • 91.75% of X has a mass of 55.93494 amu. • 2.123% of X has a mass of 56.93539 amu. • 0.2820% of X has a mass of 57.93328 amu. What is the average atomic mass of element X? Express your answer numerically to four significant figures.

###### FREE Expert Solution

We’re given the following values:

X-54: Mass = 53.93961 amu      f.a. = 5.845 % ÷ 100 = 0.05845

X-56: Mass = 55.93494 amu      f.a. = 91.75 % ÷ 100 = 0.91750

X-57: Mass = 56.93539 amu      f.a. = 2.123 % ÷ 100 = 0.02123

X-57: Mass = 57.93328 amu      f.a. = 0.2820% ÷ 100 = 0.00282

Average Atomic Mass = ??

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###### Problem Details

A certain element X has four isotopes.

• 5.845% of X has a mass of 53.93961 amu.

• 91.75% of X has a mass of 55.93494 amu.

• 2.123% of X has a mass of 56.93539 amu.

• 0.2820% of X has a mass of 57.93328 amu.

What is the average atomic mass of element X?

Express your answer numerically to four significant figures.

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