What is the osmotic pressure of a solution prepared from 10.0 g of theelectrolyte KCl and enough water to make 1.00 L of solution at a temperature of 298K?Question 8Select one:665 kPa332 kPa27.9 kPa166 kPa55.8 kPa
Question
What is the osmotic pressure of a solution prepared from 10.0 g of theelectrolyte KCl and enough water to make 1.00 L of solution at a temperature of 298K?Question 8Select one:665 kPa332 kPa27.9 kPa166 kPa55.8 kPa
Solution
To solve this problem, we need to use the formula for osmotic pressure:
Π = nRT/V
where: Π is the osmotic pressure, n is the number of moles of solute, R is the ideal gas constant, T is the temperature in Kelvin, V is the volume of the solution in liters.
First, we need to calculate the number of moles of KCl. The molar mass of KCl is approximately 74.55 g/mol. So,
n = 10.0 g / 74.55 g/mol = 0.134 mol
The ideal gas constant R is 0.0821 L·atm/(K·mol) and the temperature T is given as 298 K. The volume V is 1.00 L.
Substituting these values into the formula gives:
Π = (0.134 mol * 0.0821 L·atm/(K·mol) * 298 K) / 1.00 L = 3.28 atm
However, the options are given in kPa. We know that 1 atm is approximately equal to 101.325 kPa, so we need to convert:
Π = 3.28 atm * 101.325 kPa/atm = 332 kPa
So, the osmotic pressure of the solution is approximately 332 kPa.
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