GATE 2023 MT – Question 57

The chimney shown must provide natural draft $P_0-P_1=1.0133\times10^3$ Pa between furnace and chimney bottom. Air and flue-gas densities are constant with height; their difference is 0.5 kg m$^{-3}$. Neglect frictional losses and kinetic-energy differences between chimney bottom and top. For $g=9.81$ m s$^{-2}$, the minimum height $h$ is ______ m (nearest integer).