77 The osmotic pressure of a 0010 M MaSO solution at 25C is

77. The osmotic pressure of a 0.010 M MaSO, solution at 25°C is 0.318 atm. Calculate i, the van\'t Hoff factor, for this MgSO4 solution. A) 0.013 (B)1.3 C) 1.5 D) 2.0 E) 76.8 Ans: B egory: Medium Section: 12.7

Solution

Osmotic pressure of a solution can be given as
P = iMRT
where
P is the osmotic pressure in atm= 0.318 atm
i = van \'t Hoff factor of the solute=???
M = concentration in molarity (g/mL)= 0.010M
R = Ideal gas constant = 0.08206 L·atm/mol·K
T = temperature in K= 298 (25 ^oC)

Van\'t Hoff factor i= P/MRT

Therefore i = 0.318/(0.010*0.08206*298) = 0.318/0.2445 = 1.3