To determine the mass of silver sulfide (Ag2S) produced from the reaction given that 0.04 mol of silver (Ag) is used, you need to follow these steps:
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Calculate the molar mass of silver sulfide (Ag2S): \[ \text{Molar mass of Ag2S} = 2 \times \text{molar mass of Ag} + \text{molar mass of S} = 2(108 , \text{g/mol}) + 32 , \text{g/mol} = 248 , \text{g/mol} \]
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Determine the amount of silver sulfide produced:
- From the balanced equation, 2 moles of Ag produce 1 mole of Ag2S.
- Therefore, if 0.04 mol of Ag is used, the amount of Ag2S produced will be: \[ \text{Moles of Ag2S} = \frac{0.04 , \text{mol Ag}}{2} = 0.02 , \text{mol Ag2S} \]
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Calculate the mass of silver sulfide produced: \[ \text{Mass of Ag2S} = \text{molar mass of Ag2S} \times \text{moles of Ag2S} = 248 , \text{g/mol} \times 0.02 , \text{mol} = 4.96 , \text{g} \]
Thus, the correct response that shows these steps is:
\[ 2(108 , \text{g/mol}) + 32 , \text{g/mol} = 248 , \text{g/mol}; \quad (248 , \text{g/mol})(0.02 , \text{mol}) = 4.96 , \text{g} \]
This response involves calculating the molar mass of Ag2S and then using it to find the mass based on the moles of Ag2S produced.