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Given the following isotopes of strontium, calculate the average atomic mass.

43.65% strontium at a mass of 87.05 amu, and 48.24% of strontium at a mass of 87.93 amu and 8.11% of strontium at a mass of 87.50 amus.

User Dan Hanly
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2 Answers

3 votes

Final answer:

To find the average atomic mass of strontium, you multiply each isotope's mass by its natural abundance as a decimal and then sum the resulting figures. The calculated average atomic mass for strontium is 87.476607 amu.

Step-by-step explanation:

To calculate the average atomic mass of strontium using the given isotopes and their respective mass percentages, we will multiply each isotope's mass by its abundance, convert the abundance percentage to a decimal, and then sum these figures. Here's the calculation:

  • (43.65% × 87.05 amu) / 100 = 0.4365 × 87.05 = 37.977325 amu
  • (48.24% × 87.93 amu) / 100 = 0.4824 × 87.93 = 42.403032 amu
  • (8.11% × 87.50 amu) / 100 = 0.0811 × 87.50 = 7.09625 amu

Add these values together to find the average atomic mass:

37.977325 amu + 42.403032 amu + 7.09625 amu = 87.476607 amu

Therefore, the average atomic mass of strontium is 87.476607 amu.

User Marco Sousa
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5.0k points
6 votes

Answer:

87.5198

Step-by-step explanation:

(43.65 * 87.05) + (48.25 * 87.93) + (8.11 * 87.50) = 8751.98

8751.98 / 100 = 87.5198

User Alexis Vandepitte
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5.2k points