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An element has three stable isotopes. One has a mass number of 63 and an abundance of 50% The second has a mass number of 65 and an abundance of 30% The third has a mass number of 67 and an abundance of 20% Calculate the relative atomic mass of this element. Give your answer to one decimal place.

Question

An element has three stable isotopes. One has a mass number of 63 and an abundance of 50%  The
second has a mass number of 65 and an abundance of 30%  The third has a mass number of 67
and an abundance of 20%  Calculate the relative atomic mass of this element. Give your answer to
one decimal place.

An element has three stable isotopes. One has a mass number of 63 and an abundance of 50% The second has a mass number of 65 and an abundance of 30% The third has a mass number of 67 and an abundance of 20% Calculate the relative atomic mass of this element. Give your answer to one decimal place.

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Answer

4.6319 Voting
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HenriettaAdvanced · Tutor for 1 years

Answer

64.4 <br /><br />Thus, the relative atomic mass of this element, when rounded to one decimal place, is 64.4.

Explain

## Step1:<br />To solve this problem, we first need to calculate the mass contribution of each isotope to the relative atomic mass of the element. Isotopes contributions can be calculated using this formula: (isotope mass) x (its relative abundance).<br /><br />## Step2:<br /><br />Next, we calculate the weighted isotopic mass for each of the three isotopes using the formula, converting the abundance percentage into a decimal by dividing it by 100.<br /><br />### \[(63 \times 0.50) + (65 \times 0.30) + (67 \times 0.20) = ?\]<br /><br />## Step3:<br /><br />After doing some multiplications, we sum up the extracted mass contributions to get the relative atomic mass.<br /><br />### \[31.5 + 19.5 + 13.4 = ?\]
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