Osmotic pressure of a solution containing 2 g dissolved protein per 300 cm3 of solution is 20 mm of Hg at 27 °C. The molecular mass of protein is

Question

Osmotic pressure of a solution containing 2 g dissolved protein per 300 cm3 of solution is 20 mm of Hg at 27 °C. The molecular mass of protein is (A) 6239.6 g mol-1 (B) 12315.5 g mol-1 (C) 3692.1 g mol-1 (D) 7368.4 g mol-1

Tardigrade Admin · Accepted Answer

π = (nBRT/V); nB = (WB/MB) π = (WB/MB) × (RT/π) MB = (WB/V) × (RT/π) = (2 × 0.0821 × 300 × 760/0.3 × 20) = 6239.6 g mol-1

Q. Osmotic pressure of a solution containing $2 g$ dissolved protein per $300 c m^{3}$ of solution is $20 mm$ of Hg at $27^{°} C$ . The molecular mass of protein is

$6239.6 g m o l^{- 1}$

$12315.5 g m o l^{- 1}$

$3692.1 g m o l^{- 1}$

$7368.4 g m o l^{- 1}$

$π = \frac{n _{B} RT}{V}; n_{B} = \frac{W _{B}}{M _{B}}$
$π = \frac{W _{B}}{M _{B}} \times \frac{RT}{π}$
$M_{B} = \frac{W _{B}}{V} \times \frac{RT}{π}$
$= \frac{2 \times 0.0821 \times 300 \times 760}{0.3 \times 20}$
$= 6239.6 g m o l^{- 1}$

Q. Osmotic pressure of a solution containing 2g dissolved protein per 300cm3 of solution is 20mm of Hg at 27°C. The molecular mass of protein is

6239.6gmol−1

12315.5gmol−1

3692.1gmol−1

7368.4gmol−1