Problem Set #2
(Due Wednesday 1/24/18)
We showed in class that, for any fluid at rest, the pressure p is the solution to the equation
where with the z-direction being vertically upward, the gravitational acceleration is
and g is a constant (9.8m/s
The ideal gas law is usually written
where T is temperature, p is pressure, V is total volume, n is the total number of moles of gas
molecules, and R is the gas constant.
In some fluid mechanics texts, the ideal gas law appears as
is the mass density of the gas.
What is the relation between the usual gas constant R and