At equilibrium, the pressures at the bottom of both columns are equal: ρ\(_m\) \times h\(_m\) \times g = ρ\(_x\) \times h\(_x\) \times g g cancels out, so: ρ\(_m\) \times h\(_m\) = ρ\(_x\) \times h\(_x\) \(\rho_x = \rho_m \times \frac{h_m}{h_x} = 800 \times \frac{7.1}{14.2}\) \(\frac{7.1}{14.2} = 0.5\) \(\rho_x = 800 \times 0.5 = 400 \, \text{kg/m³}\) Relative density of X (with respect to methanol) = \(\frac{\rho_x}{\rho_m} = \frac{400}{800} = \mathbf{0.5}\)