A Pitot tube (Fig. 1.82 ) is mounted along the axis of a gas pipeline whose cross-sectional area is equal to S. Assuming the viscosity to be negligible, find the volume of gas flowing across the section of the pipe per unit time, if the difference in the liquid columns is equal to \(\Delta \bar{h},\) and the densities of the liquid and the gas are \(\rho_{0}\) and \(\rho\) respectively