Questions: How many moles of Ag are in 47.6 grams of Ag2O?

How many moles of Ag are in 47.6 grams of Ag2O?
Transcript text: How many moles of Ag are in 47.6 grams of $\mathrm{Ag}_{2} \mathrm{O}$ ?
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Solution

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Solution Steps

Step 1: Determine the molar mass of Ag2O\mathrm{Ag}_{2} \mathrm{O}

First, we need to calculate the molar mass of silver oxide (Ag2O\mathrm{Ag}_{2} \mathrm{O}). The molar masses of the elements involved are:

  • Silver (Ag): 107.87 g/mol
  • Oxygen (O): 16.00 g/mol

The molar mass of Ag2O\mathrm{Ag}_{2} \mathrm{O} is: 2×107.87g/mol+16.00g/mol=231.74g/mol 2 \times 107.87 \, \text{g/mol} + 16.00 \, \text{g/mol} = 231.74 \, \text{g/mol}

Step 2: Calculate the moles of Ag2O\mathrm{Ag}_{2} \mathrm{O}

Next, we use the given mass of Ag2O\mathrm{Ag}_{2} \mathrm{O} to find the number of moles. The formula to convert grams to moles is: moles=massmolar mass \text{moles} = \frac{\text{mass}}{\text{molar mass}}

Given mass of Ag2O\mathrm{Ag}_{2} \mathrm{O} is 47.6 grams: moles of Ag2O=47.6g231.74g/mol=0.2054moles \text{moles of } \mathrm{Ag}_{2} \mathrm{O} = \frac{47.6 \, \text{g}}{231.74 \, \text{g/mol}} = 0.2054 \, \text{moles}

Step 3: Determine the moles of Ag in Ag2O\mathrm{Ag}_{2} \mathrm{O}

Since each molecule of Ag2O\mathrm{Ag}_{2} \mathrm{O} contains 2 atoms of Ag, the number of moles of Ag is twice the number of moles of Ag2O\mathrm{Ag}_{2} \mathrm{O}: moles of Ag=2×0.2054=0.4108moles \text{moles of Ag} = 2 \times 0.2054 = 0.4108 \, \text{moles}

Final Answer

0.4108moles \boxed{0.4108 \, \text{moles}}

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