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Calculate the motility of a solution containing 14.3 g of NaCl in 42.2 g of wate

ID: 534817 • Letter: C

Question

Calculate the motility of a solution containing 14.3 g of NaCl in 42.2 g of water. A) 2.45 times 10^-4 m B) 4.80 times 10^-4 m C) 2.45 times 10^-1 m D) 103 m E) 5.80 m The density of a 20.3 M CH_3OH (methanol) solution is 0.858 g/mL. What is the molality of this solution? H_2O is the solvent. A) 17.4 m B) 20.8 m C) 23.7 m D) 70.0 m E) 97.6 m What mass of Li_3PO_4 is needed to prepare 500. mL of a solution having a lithium ion concentration of 0.175 M A) 6.75 g B) 10.1 g C) 19.3 g D) 30.4 g E) 3.38 g

Explanation / Answer

Ans 1) Given Mass of solute (NaCl) = 14.3g

Molar mass of solute = 58.5g

Mass of solvent (H2O)=42.2g

Number of moles of solute = given mass /molar mass

                                       = 14.3/58.5

                                        = 0.244

Molality = number of moles of solute x1000 / mass of solvent

             = 0.244x1000/42.2

             = 5.80m

Ans 2) Given density of solution = 0.858g/ml

Volume of solution = 1000ml

mass of solution =volume x density

                        =1000 x 0.858

                        = 858g

Again Number of moles of CH3OH = 20.3

Molar mass of CH3OH = 32g

Mass of CH3OH = Number of moles x molar mass

                        = 20.3x32

                         = 649.6

Now Mass of solution = Mass of CH3OH + Mass of Water

mass of water = Mass of solution - Mass of CH3OH

                     =858-649.6

                     = 208.4

Molality = Number of moles of CH3OH x 1000 / Mass of water

             =20.3 x 1000 / 208.4

             =97.6M

Ans 3) Given

Number of moles of Li+ in 1L solution = 0.175

For 500ml = 0.5L solution

Number of moles of Li+ = 0.5 x 0.175

                                   =0.087

Now The reaction will be

Li3PO4 ->3Li+ + PO43-

Number of moles of Li3PO4 = 0.087 / 3

                                          =0.029

Molar mass of Li3PO4 = 115.79g

Number of moles = Mass of Li3PO4 / Molar mass

Mass of Li3PO4 = Number of moles x molar mass

                         = 0.029 x 115.79

                          =3.38g

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