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Wood's metal contains 50.0% bismuth, 25.0% lead, 12.5% tin and 12.5% cadmium by mass. What is the mole fraction of tin?

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Wood's metal contains 50.0% bismuth, 25.0% lead, 12.5% tin and 12.5% cadmium by mass. What is the mole fraction of tin? (Atomic mass : Bi = 209, Pb = 207, Sn = 199, Cd = 112)

(a) 0.202

(b) 0.158

(c) 0.176

(d) 0.221

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Correct answer: (c) 0.176

Explanation:

Xsn = \(\frac{\frac{12.5}{119}}{\frac{50}{209} + \frac{25}{207} + \frac{12.5}{119} + \frac{12.5}{112}}\) 

= 0.176

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