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Determine the osmotic pressure of CaCl2 dissolved in 2.5 litre of water such that it's osmotic pressure is 0.75 atmosphere at 27 degree Celsius when CaCl2 is 40 % dissociated?
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Determine the osmotic pressure of CaCl2 dissolved in 2.5 litre of wate...
Calculation of Osmotic Pressure of CaCl2

Given data:
- Volume of water (V) = 2.5 L
- Osmotic pressure (π) = 0.75 atm
- Temperature (T) = 27°C
- Percent dissociation of CaCl2 (α) = 40%

Formula to calculate osmotic pressure:
π = i * MRT
where,
π = osmotic pressure
i = van't Hoff factor
M = molarity of solute
R = gas constant
T = temperature in Kelvin

Calculating van't Hoff factor (i):
For CaCl2, it dissociates into 3 ions (Ca2+ and 2Cl-)
i = 1 + (n-1)α
i = 1 + (3-1)*0.4
i = 1.8

Calculating molarity of CaCl2:
Molarity = moles of solute / volume of solution
Assuming 1 mol of CaCl2 is dissolved,
Molarity = 1 mol / 2.5 L
Molarity = 0.4 M

Converting temperature to Kelvin:
T(K) = 27°C + 273
T = 300 K

Calculating osmotic pressure:
π = 1.8 * 0.4 M * 0.0821 atm L / mol K * 300 K
π = 0.8664 atm
Therefore, the osmotic pressure of CaCl2 solution is 0.8664 atm.
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Determine the osmotic pressure of CaCl2 dissolved in 2.5 litre of water such that it's osmotic pressure is 0.75 atmosphere at 27 degree Celsius when CaCl2 is 40 % dissociated?
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