A certain sample of element Z contains 60% of 69Z and 40% of 71Z. What is the relative atomic mass ofelement Z in this sample?A. 69.2B. 69.8C. 70.0D. 70.2
Question
A certain sample of element Z contains 60% of 69Z and 40% of 71Z. What is the relative atomic mass of element Z in this sample?
A. 69.2
B. 69.8
C. 70.0
D. 70.2
Solution
To calculate the relative atomic mass of element Z, we need to take into account the percentage of each isotope and their respective atomic masses.
Step 1: Convert the percentages into proportions. 60% becomes 0.60 and 40% becomes 0.40.
Step 2: Multiply the atomic mass of each isotope by its proportion. For 69Z: 0.60 * 69 = 41.4 For 71Z: 0.40 * 71 = 28.4
Step 3: Add these values together to get the relative atomic mass. 41.4 + 28.4 = 69.8
So, the relative atomic mass of element Z in this sample is 69.8 (Option B).
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