Step 1: Understanding Colligative Properties Colligative properties depend only on the number of solute particles in a solution, not their identity. The four main colligative properties are Relative lowering of vapor pressure Boiling point elevation Freezing point depression Osmotic pressure Since surface tension is not influenced by the number of solute particles but by intermolecular forces, it is not a colligative property.
Given below are two statements:
Statement (I): Molal depression constant $ k_f $ is given by $ \frac{M_1 R T_f}{\Delta S_{\text{fus}}} $, where symbols have their usual meaning.
Statement (II): $ k_f $ for benzene is less than the $ k_f $ for water.
In light of the above statements, choose the most appropriate answer from the options given below:
(b) Order of the differential equation: $ 5x^3 \frac{d^3y}{dx^3} - 3\left(\frac{dy}{dx}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^4 + y = 0 $