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TS EAMCET · Chemistry · Solutions

An aqueous dilute solution containing non-volatile solute boils at \(100.52^{\circ} \mathrm{C}\). What is the molality of solution? \(\left(K_b=0.52 \mathrm{~kg} \mathrm{~mol}^{-1} \mathrm{~K}\right.\), boiling temperature of water \(=100^{\circ} \mathrm{C}\) )

  1. A \(0.1 \mathrm{~m}\)
  2. B \(0.01 \mathrm{~m}\)
  3. C \(0.001 \mathrm{~m}\)
  4. D \(1.0 \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(0.1 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

\(\Delta T_b=K_b \cdot m\) \[ T_b-T_b^{\circ}=K_b \cdot m \] where, \(K_b=\) molal elevation constant \(m=\) molality \[ \begin{aligned} (100.052-100.00) & =(0.52)(m) \\ 0.052 & =0.52 \times m \\ m & =0.1 \end{aligned} \]