Question

A compressed air tank contains 5 kg of air at a temperature of 80 °C. A gauge pressure meter on the tank reads 300 kPa. Determine the volume of the tank and state the assumption made

Answer 1

Consider Ideal gas law, express $\rho$ as mass per volume

$p = \rho TR$

$p = \frac{m}{V}TR$

$V = \frac{m}{p}TR = \frac{ 5 kg.353K.287.05\frac{j}{kgK}}{(300+101.6)10^3 pa}= 1.2625 m^3$