What is the molar concentration of the solution? How many moles of solute are in the solution?What is the molar mass of the solute?

2018-07-28 8:06 am
When 3.86 g of a nonelectrolyte solute is dissolved in water to make 525 mL of solution at 27 °C, the solution exerts an osmotic pressure of 909 torr.

a) What is the molar concentration of the solution?
b)How many moles of solute are in the solution?
c)What is the molar mass of the solute?

回答 (2)

2018-07-28 9:10 am
a)
Osmotic pressure, Π = 909/760 atm
Temperature, T = (273 + 27) K = 300 K
Gas constant, R = 0.08206 L atm / (mol K)

van't Hoff formula for dilute solution of non-electrolyte: Π = MRT
Molar concentration of the solution, M = Π/(RT) = (909/760) / (0.08206 × 300) M = 0.0486 M

b)
No. of moles of solute in the solution = (0.0486 mol/L) × (525/1000 L) = 0.0926 mol

c)
Molar mass of the solute = (3.86 g) / (0.0926 mol) = 41.7 g/mol
2018-07-28 10:21 am
Let’s use the following equation to determine the number of moles.
P * V = n * R * T

The unit of pressure is atmospheres. One atmosphere is 760 torr.
P = 909/760

The volume must be in liters.
V = 0.525 liter

The exact value of R is 22.4 ÷ 273. Some people round this is 0.0821. To solve this problem the temperature must be converted from °C to °K.

T = 27˚ + 273˚ = 300˚

909/760 * 0.525 = n * (22.4 ÷ 273) * 300
5,107,200 * n = 130,282.425
n = 130,282.425 ÷ 5,107,200

The number of moles is approximately 0.0225. To determine the molar concentration, divide the number of moles by the number of liters.

M = (130,282.425 ÷ 5,107,200) ÷ 0.525

This is approximately 0.0486 mole per liter. To determine the mass of one mole of this compound, divide its mass by the number of moles.

Molar mass = 3.86 ÷ (130,282.425 ÷ 5,107,200)

This is approximately 151 grams. This is the only way that I know how to solve this type of problem. I hope this is helpful for you.


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