InterviewSolution
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InterviewSolution
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The following figure shows the unit cell of a compound, i.e., a mixed oxide of yttrium, bariym, and copper. The formula of mixed oxide is `Y_(a)Ba_(b)Cu_(c)O_(d)`. Find the value of `(a + b+ c + d)`. |
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Answer» Correct Answer - 13 Singal unit cell consists of thrre cubes. ltbRgt Number of `Ba^(2+)` ions `= 2` per lunit cell Number of `Y^(4+)` ions `= 1` per unit cell Number of `Cu^(2+)` ions `= 8` in each at corners) `= 8 xx 3` (in three cubs) `xx 1/8` (per corner share) `= 3//"unit cell"` Number of `O^(2-)` ions `= 10` (at edge centre of cube `1`) `+ 8` (at eedge centre of cube `2`) `+ 10` (at edge centre of cube `3`) `= 28` (edge centre) `xx 1/4` (per edge centre share) `= 7//"unit cell"` Formula: `Y_((a))^(4+)Ba_((b)^(2+))Cu_((c)^(2+))O_((d)^(2-))` `rArr Y_(1^(4+))Ba_(2^(2+))Cu_(3^(2+))O_(7^(2-))` `[{:("Total +ve charge (14)"),("is equal to total" -ve),("charge" (14)):}]` `:. a + b + c + d = 1 + 2 + 3 + 7 = 13` |
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