A 14.8 Molar solution of NH3 in water has a density of 0.90 g/mL. What is mole fraction of NH3?
As we know that
molarity=( no of moles of solute / volume of solution in literature)
We have molarity 14.8 moles
We will assume that volume of solution is 1L for convenience.
So mass of NH3 will be
14.8 × molar mass of NH3
= 14.8× 17.031 g/mol . ( Molar mass of NH3 is 17.031)
= 252.0588 g/mol mass of NH3
we have density of solution as 0.90g/ml
So the weight of 1L solvent is
1000 ml ×0.90g/ml
= 900 gram.
So weight of the water is
900-252.0588
=647.9412 gm
weigh of water is 647.9 gm
no of moles of water in 647.9 gm is
647.9/18.02
= 35.95 moles
moles of water present is 35.95 moles
mole fraction= no of moles of solute/no of moles of solvent
= 14.08/35.95
=0.391
mole fraction of NH3 is 0.391
i hope this helps if you have any questions or want more detailed explanation feel free to ask in the comment section below.
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