Question

In: Chemistry

A solution is 5.66 % by mass NH3 (MM 17.04 g/mol) in water (MM 18.02 g/mol)....

A solution is 5.66 % by mass NH3 (MM 17.04 g/mol) in water (MM 18.02 g/mol). The density of the resulting solution is 0.974 g/mL. What is the mole fraction, molarity and molality of NH3 in the solution?

Solutions

Expert Solution

5.66% by mass NH3 5.66g of NH3 present in 100g of water

mass of slution   = mass of solute + mass of solvent

                           = 5.66+100 = 105.66g

volume of solution   = mass of solution * density of solution

                                 = 105.66*0.974    = 102.91g

molality   = W*1000/G.M.Wt* weight of solvent in g

               = 5.66*1000/17.04*100   = 3.32m

molarity   = W*1000/G.M.Wt* volume of solution in ml

               = 5.66*1000/17.04*105.66    = 3.14M

no of moles of NH3 nNH3   = W/G.M.Wt   = 5.66/17.04   = 0.332 moles

no of moles of H2O nH2O   = W/G.M.Wt     = 100/18.02   = 5.549 moles

mole fraction of NH3   XNH3   = nNH3/nNH3+ nH2O

                                                = 0.332/0.332+5.549

                                                = 0.332/5.881   = 0.0564


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