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Question

0.2 mol of Na3PO4 and 0.5 mol of Ba(NO3)2 are mixed in a 1 L of solution. Which of the following statements is/are correct?

A
0.2 mol of barium phosphate precipitate is obtained
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B
0.1 mol of barium phosphate precipitate is obtained
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C
Molarity of Ba2+ ions in the resulting solution is 0.2
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D
Molarities of Na+ and NO3 ions are 0.6 and 1.0 respectively
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Solution

The correct option is D Molarities of Na+ and NO3 ions are 0.6 and 1.0 respectively
The corresponding balanced reaction is:
2Na3PO4(aq)+3Ba(NO3)2(aq)Ba3(PO4)2(aq)+6NaNO3(aq)
So, Na3PO4 is the limiting reagent and is completely consumed.
Moles of Ba3(PO4)2 formed =0.22 mol=0.1 mol
Moles of unreacted Ba(NO3)2=(0.50.3) mol=0.2=mol of Ba2+ ion.
The reacted 0.3 mol Ba2+ will be precipitated as 0.1 mol barium phosphate.
Moles of Na+ in solution =0.2×3=0.6
Moles of NO3 in solution =0.5×2=1

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