First slide

Theory of dilute solutions

Question

Insulin is dissolved in suitable solvent and the osmotic pressure in atm of solutions at various concentration is measured at 20°C. The slope of the plot of p against C is found to be 4.65 × 10^-3. The molecular weight of insulin is 5.17 × 10^x. Then ‘x’ is

Moderate

A

One
B

five
C

two
D

six

Solution

Applying Osmotic pressure
$π V = \frac{W B}{M B} \times R T$
$π = (\frac{W B}{V}) \times \frac{R T}{M B} \Rightarrow π = C \times \frac{R T}{M B} \times 100 . . . . (1)$
$While C = conc.in g / c c, 4 = x \times m . . . . (2)$
Combination equation 1 & 2
$Slope = \frac{R T}{M B} \times 1000$
$∴ M B = \frac{R T}{Slope} \times 1000 = \frac{0.0821 \times 293 \times 1000}{4.65 \times 10^{- 3}} = 5.17 \times 10^{6}$

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