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4. Calculate the atomic mass of silver based on the following information: (}_(47)^107Ag=52% ()_{47)^108Ag=48% Predict the atomic mass of Ag: Prediction: __ Calculate the atomic mass of Ag: Answer: __ (show all work)

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4. Calculate the atomic mass of silver based on the following information:
(}_(47)^107Ag=52%  ()_{47)^108Ag=48% 
Predict the atomic mass of Ag: Prediction:
__
Calculate the atomic mass of Ag: Answer: __ (show all work)

4. Calculate the atomic mass of silver based on the following information: (}_(47)^107Ag=52% ()_{47)^108Ag=48% Predict the atomic mass of Ag: Prediction: __ Calculate the atomic mass of Ag: Answer: __ (show all work)

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UlyssesElite · Tutor for 8 years

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# Explanation:<br />## Step1: Define the Problem<br />### We need to calculate the atomic mass of silver (Ag) based on the given isotopic abundances and their respective atomic masses. The isotopes are ${}_{47}^{107}\text{Ag}$ with an abundance of 52% and ${}_{47}^{108}\text{Ag}$ with an abundance of 48%.<br /><br />## Step2: Convert Percentages to Decimal Form<br />### Convert the given percentages into decimal form for easier calculation. <br />- For ${}_{47}^{107}\text{Ag}$: $52\% = 0.52$<br />- For ${}_{47}^{108}\text{Ag}$: $48\% = 0.48$<br /><br />## Step3: Calculate the Weighted Average<br />### Use the formula for the weighted average to find the atomic mass of silver:<br />\[\text{Atomic Mass} = (0.52 \times 107) + (0.48 \times 108)\]<br /><br />## Step4: Perform the Calculations<br />### Calculate each term separately and then sum them up:<br />\[0.52 \times 107 = 55.64\]<br />\[0.48 \times 108 = 51.84\]<br />\[\text{Atomic Mass} = 55.64 + 51.84 = 107.48\]<br /><br /># Answer:<br />### The atomic mass of Ag is 107.48 amu
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