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Question

Chemistry Question on Solutions

A solution contains non volatile solute of molecular mass M2. Which of the following can be used to calculate the molecular mass of solute in terms of osmotic pressure

A

M2=(m2π\frac{m_2}{\pi})VRT

B

M2=(m2V)RTπ(\frac{m_2}{V})\frac{RT}{\pi}

C

M2=(m2V)πRT(\frac{m_2}{V})\pi RT

D

M2=(m2V)πRT(\frac{m_2}{V})\frac{\pi}{RT}

Answer

M2=(m2V)RTπ(\frac{m_2}{V})\frac{RT}{\pi}

Explanation

Solution

The correct option is (B) : M2=(m2V)RTπ(\frac{m_2}{V})\frac{RT}{\pi}

For dilute solution, pV=nRT or π\piV=nRT or π\piV= m2M2\frac{m_2}{M_2} RT or M2 = m2πV\frac{m_2}{\pi V} RT ​where, π\pi = osmotic pressure V =volume of solution n = number of moles of solute m2=mass of solute M2= molecular mass of solute