When copper is heated with an excess of sulfur, copper(I) sulfide is formed. In a given experiment, 0.0970 moles of copper was heated with excess sulfur to yield 2.98 g copper(I) sulfide. What is the percent yield?
Since 2 moles of Cu are contained in 1 mole of Cu2S, we can calculate the expected amount of Cu2S and use that as the reference for the 100%:
"0.0970\\text{ mol Cu}\\times \\frac{1\\text{ mol Cu}_2\\text{S}}{2\\text{ mol Cu}}\\times \\frac{159.158\\text{ g Cu}_2\\text{S}}{1\\text{ mol Cu}_2\\text{S}}\n\\\\ \\text{ }\n\\\\ \\implies 7.719163\\text{ g Cu}_2\\text{S} \\approxeq 7.72\\text{ g Cu}_2\\text{S}"
Then we can calculate the yield percent as:
"\\%(\\text{yield})=\\cfrac{m_{Cu_2S\\text{ obtained}}}{m_{Cu_2S\\text{ expected}}}\\times 100\n\\\\ \\text{ }\n\\\\ \\%(\\text{yield})=\\frac{2.98 \\cancel{ \\text{ g Cu}_2\\text{S} } }{7.72 \\cancel{\\text{ g Cu}_2\\text{S} } }\\times 100=38.60 \\%"
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