Answer to Question #277230 in Molecular Physics | Thermodynamics for kim

Question

The height of a cylindrical tank, containing 15 lb of gas at 70 psia and 115o F is triple its diameter; the gas constant R = 45 ft-lb/lboR. Find the tank height. 

Answer 1

$V=\frac{mRT}p,$

$V=Sh=\frac{\pi d^2}4 h=\frac{\pi h^3}{36},$

$h=\sqrt[3]{\frac{36 mRT}{\pi p}}=7.61~ft.$