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Calculate the molarity of a solution containing KCl and water whose osmotic pressure at 21°C is 13.3 kPa. Assume complete dissociation of the salt.Question 8Select one:0.01 M0.005 M0.0002 M0.08 M0.0027 MClear my choice

Question

Calculate the molarity of a solution containing KCl and water whose osmotic pressure at 21°C is 13.3 kPa. Assume complete dissociation of the salt.Question 8Select one:0.01 M0.005 M0.0002 M0.08 M0.0027 MClear my choice

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Solution

To calculate the molarity of the solution, we can use the formula for osmotic pressure:

Π = n/V * R * T

where: Π is the osmotic pressure, n is the number of moles of the solute, V is the volume of the solution in liters, R is the ideal gas constant, and T is the temperature in Kelvin.

Given: Π = 13.3 kPa = 13.3 * 10^3 Pa (since 1 kPa = 10^3 Pa) T = 21°C = 21 + 273.15 = 294.15 K (since Kelvin = Celsius + 273.15) R = 8.314 Pa.m^3/mol.K (ideal gas constant)

We need to find n/V which is the molarity (M) of the solution.

Rearranging the formula for M gives:

M = Π / (R * T)

Substituting the given values:

M = 13.3 * 10^3 / (8.314 * 294.15)

Calculating this gives:

M ≈ 0.005 M

So, the molarity of the solution is approximately 0.005 M.

This problem has been solved

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