Question

In: Chemistry

given an aqueous solution of ammonium nitrate with a molal concentration of 2.480 m. what are...

given an aqueous solution of ammonium nitrate with a molal concentration of 2.480 m. what are the mole fractions of ammonium nitrate and water?

Solutions

Expert Solution

molality   = weight of substance*1000/gram molar mass * weight of solvent in gm

assume weight of solvent(H2O) = 1000gm

2.480     = weight of substance*1000/80*1000

weight of substance = 2.480*80 = 198.4gm

no of moles of NH4NO3    n1   = 198.4/80   = 2.48 moles

no of moles of water       n2     = 1000/18   = 55.5 moles

mole fraction of NH4NO3 X1     = n1/n1+n2

                                              = 2.48/2.48+55.5

                                             = 2.48/57.98

                                            = 0.0427

mole fraction of H2O   X2      = n2/n1+n2

                                        = 55.5/2.48+55.5

                                       = 55.5/57.98

                                       = 0.957


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