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# Determine the osmotic pressure of a solution prepared by dissolving 25 mg of K2SO4 in 2 liter of water at 25° C, assuming that it is completely dissociated. - CBSE (Science) Class 12 - Chemistry

ConceptColligative Properties and Determination of Molar Mass Osmosis and Osmotic Pressure

#### Question

Determine the osmotic pressure of a solution prepared by dissolving 25 mg of K2SO4 in 2 liter of water at 25° C, assuming that it is completely dissociated.

#### Solution

When K2SO4 is dissolved in water, K+ and SO_4^(2-) ions are produced.

K_2SO_4 -->2K^(+) + SO_4^(2-)

Total number of ions produced = 3

∴ i =3

Given,

w = 25 mg = 0.025 g

V = 2 L

T = 250C = (25 + 273) K = 298 K

Also, we know that:

R = 0.0821 L atm K-1mol-1

M = (2 × 39) + (1 × 32) + (4 × 16) = 174 g mol-1

Appling the following relation,

pi = i n/vRT

 iw/M1/v RT

= 3xx0.025/174 xx 1/2xx0.0821xx298

= 5.27 xx 10^(-3) atm

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Solution Determine the osmotic pressure of a solution prepared by dissolving 25 mg of K2SO4 in 2 liter of water at 25° C, assuming that it is completely dissociated. Concept: Colligative Properties and Determination of Molar Mass - Osmosis and Osmotic Pressure.
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