Question

A solution containing 500 g of a protein per liter is isotonic with a solution containing 3.42 g of sucrose per liter. The molecular mass of protein is:

• A. 5 g
• B. 146 g
• C. 34200 g
• D. 50000 g

Answer 1

The correct option is D 50000 g

Isotonic-same osmotic pressure $\pi =MRT$

Molar mass of sucrose ($C_{12}{H}_{22}{O}_{11}$) $=342$

Given that

${\pi }_1={\pi }_2$

$M_1=M_2$

$\frac{500}{x}=\frac{3.42}{342}$

$x=50000g/mol$

Hence, the correct option is $\left(D\right)$