Question

Calculate the osmotic pressure of a solution formed by dissolving 50mg of asprin (C_{9}*H_{8}*O_{4}) in 0.250L of water at 25 deg * C(R = 0.082Latm / molK)

Answer 1

The osmotic pressure of a solution can be calculated using the formula Π = MRT. For the aspirin solution in question, after converting mass to moles and temperature to Kelvin, the osmotic pressure is found to be 0.0272 atm.

Step-by-step explanation:

To calculate the osmotic pressure of a solution, we use the formula Π = MRT, where Π is the osmotic pressure, M is the molar concentration of the solute, R is the gas constant (0.0821 L atm/mol K), and T is the temperature in Kelvin.

First, convert the mass of aspirin to moles using its molar mass (Molar mass of C9H8O4 = 180.16 g/mol):
50 mg = 0.050 g
0.050 g C9H8O4 * (1 mol / 180.16 g) = 0.0002776 mol of C9H8O4

Next, calculate molar concentration (M):
M = moles of solute / liters of solution

= 0.0002776 mol / 0.250 L

= 0.0011104 M

Now, convert temperature to Kelvin:
T = 25°C + 273.15

= 298.15 K

Finally, calculate the osmotic pressure:
Π = MRT

= 0.0011104 M * 0.0821 L atm/mol K * 298.15 K

= 0.0272 atm