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Question

If 0.5 mole of BaCl2 is mixed with 0.2 mole of Na3PO4, the maximum number of moles of Ba3(PO4)2 that can be formed is

A
0.70
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B
0.50
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C
0.20
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D
0.10
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Solution

The correct option is D 0.10
The balanced reaction is
3BaCl2+2Na3PO4Ba3(PO4)2+6NaCl
In this reaction, 3 moles of BaCl2 combines with 2 moles of Na3PO4.
Hence 0.5 mole of BaCl2 recquire =23×0.5=0.33 moles of Na3PO4.
Since, available Na3PO4 (0.2 mole) is less than required mole (0.33), it is the limiting reactant and would determine the amount of product Ba3(PO4)2.
2 moles of Na3PO4 gives 1 mole of Ba3(PO4)2.
0.2 mole of Na3PO4 would give =12×0.2=0.1 mole Ba3(PO4)2

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