Assuming constant temperature condition and air to be an ideal gas, the variation in atmospheric pressure with height calculated from fluid statics is
exponential
Hydrostatics gives \(dp/dz=-\rho g\). For an isothermal ideal gas, \(\rho=p/(R_sT)\). Integrating yields \(p=p_0e^{-gz/(R_sT)}\), an exponential decrease.
Important Questions from Hydrostatic Law
What is the water pressure on the sea bottom at a depth of 6500 m? The specific gravity of sea water is assumed to be 1.03.
If barometric pressure on a mountain top is 735 mm of mercury, then the pressure (in N/m2) will be:
Which law states that the rate of increase of pressure in a vertical direction is equal to weight density of a fluid at a point?
A beaker contains water up to a height of h/3. Find the location of centre of pressure.
The specific weight W of ocean water changes according to the equation W = Wo + C√h. W0 = Specific weight of ocean water at free surface and C is a constant. The pressure as a function of depth h is given by
