A 0.20 M solution of MgSO₄ has an observed osmotic pressure of 7.6 atm at 25°C.Determine the observed van't Hoff factor for this experiment. A)19 B)0.31 C)1.6 D)1.8 E)2.0

Question

Quizplus · Accepted Answer

We can use the formula:

Π = iMRT

where Π is the observed osmotic pressure, M is the molarity of the solution, R is the gas constant, and T is the temperature in kelvin.

We can rearrange this formula to solve for i:

i = Π / MRT

Plugging in the values given:

i = (7.6 atm) / (0.20 mol/L * 0.08206 L*atm/mol/K * 298 K)

i = 1.6

Therefore, the observed van't Hoff factor is 1.6.

The other answer choices are: 
A) 19 - This is an unrealistic value for the van't Hoff factor and is likely a calculation error. 
B) 0.31 - This is not a valid value for the van't Hoff factor as it cannot be less than 1. 
D) 1.8 - This is not the correct answer as the calculation yields a value of 1.6, not 1.8.
E) 2.0 - This is not a valid value for the van't Hoff factor as it cannot be greater than the total number of particles in solution (which is 3 for MgSO4).

A 020 M Solution of MgSO4 Has an Observed Osmotic Pressure

A 020 M Solution of MgSO₄ Has an Observed Osmotic Pressure