All Problems

Equation of the gas state processes

Problem 2.13

A tall cylindrical vessel with gaseous nitrogen is located in a uniform gravitational field in which the free-fall acceleration is equal to gg. The temperature of the nitrogen varies along the height hh so that its density is the same throughout the volume. Find the temperature gradient dT/dhd T / d h.

Reveal Answer
dT/dh=Mg/R=33mK/md T / d h=-M g / R=-33 \mathrm{mK} / \mathrm{m}