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Question

0.789 g of crystalline barium hydroxide is dissolved in water. For the neutralisation of this solution, 20 mL of N4HNO3 is required. How many molecules of water are present in one g mole of this base? (Ba=137.4,O=15,N=14,H=1).

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Solution

Let the molecular formula be Ba(OH)2xH2O
Mol. mass of Ba(OH)2xH2O=137.4+(2×16)+(2×1)+18x
=171.4+18x
Eq. mass of Ba(OH)2xH2O=171.4+18x2
20 mLN4HNO320 mLN4Ba(OH)2xH2O
Amount of Ba(OH)2xH2O=(171.4+18x)2×4×201000
=171.4+18x400g
Amount of Ba(OH)2xH2O=0.789 g
Hence, 171.4+18x400=0.789
or 171.4+18x=0.789×400
x=144.218=8.01=8.
Thus, 8 g moles of water molecules are present in one g mole of the base.

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