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Ocean water typically contains approximately 3.5 g of mostly NaCl per 100.0 mL o

ID: 1050177 • Letter: O

Question

Ocean water typically contains approximately 3.5 g of mostly NaCl per 100.0 mL of solution and has an approximate density of 1.03 g/ml. Note: the molar masses of water and sodium chloride are 18.0 g and 58.5 g. the density of pure water is 1.00 g/ml; the universal gas constant R is 0.0821 L-atm/mol-K. Calculate the vapor pressure of this solution if the vapor pressure of pure water at 25degreeC is 0 0313 atm. Calculate the osmotic pressure of this solution. The van't Hoff factor is approximately 1.95.

Explanation / Answer

d)

Po = 0.0313

mass of NaCl= 3.5 g

density = 1.03 g/mL

mass of solution= 1.03 g/mL * 100 mL = 103 g

mass of water = 103 g – 3.5 g = 99.5 g

moles of NaCl = 3.5/58.5 = 0.06 mol

moles of H2O = 99.5/18 = 5.53 mol

mole fraction of H2O = 5.53 / (5.53 + 0.06) = 0.989

p = pO*x

p = 0.0313 * 0.989 = 0.03096 atm

e)

C = number of moles of NaCl / volume

= 0.06 / 0.1 L

= 0.006 M

P = i*C*R*T

= 1.95*0.006*0.0821*298

   =0.286 atm

Answer: 0.286 atm