#313 When the high temperature superconductor

When the high temperature superconductor - Chemistry

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When the high temperature superconductor yttrium barium copper oxide is heated under flowing H₂, the solid remaining at 1000°C is a mixture of Y₂O₃, BaO and Cu. The starting material has the formula YBa₂Cu₃0_7-x' in which the oxygen stoichiometry varies between 7 and 6.5 (x-0 to 0.5). Starting with 28.19 mg of YBa₂Cu₃0_7-x' 25.85 mg of solid product remained at 1000°C. Find the value ofx.(10 marks) (MW of Y: 88.91, MW of Ba: 137.33, MW of Cu: 63.55, MW of O: 16.00)

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Free Chegg Answer

Mw of Y2O3 = 2(Y)+ 3(O) = 2(88.91)+3(16) = 225.82

MW of BaO = 1(Ba)+1(O) = 1(137.33)+1(16) = 153.33

MW of Cu = 63.55

Total Molecular weight of mixture = 225.82+153.33+63.55

= 442.70

25.85 mg of mixture produced from 28.19mg

442.70 mg of mixture produced from ________

(25.85/28.19) = (442.70/X)

X = (442.70×28.19)/25.85 = 482.7741mg

If we expressed weight of X in grams, weight = 482.7741grs

YBa2Cu3O(7-x) = 482.7741

1(Y)+2(Ba)+3(Cu)+(7-x)O = 482.7741

1(88.91)+2(137.33)+3(63.55)+(7-x)16 = 482.7741

88.91+274.66+190.65+(7-x)16 = 482.7741