Thermal Properties of Matter PYQs

The value of coefficient of volume expansion of glycerin is $5\times10^{-4}\,\text{K}^{-1}$. The fractional change in the density of glycerin for a rise of $40^{\circ}\text{C}$ in its temperature is:

A slab of stone of area 0.36 m² and thickness 0.1 m is exposed on the lower surface to steam at 100°C. A block of ice at 0°C rests on the upper surface of the slab. In one hour 4.8 kg of ice is melted. (Given latent heat of fusion of ice = 3.36 × 10$^5$ J kg⁻¹) The thermal conductivity of slab is: