Answer to Question #283144 in Physics for Kimgcash

Question

A steel thick-walled gas cylinder used for storing compressed air is fitted with a safety

valve which triggers at a pressure of 1.0 x 106 Pa. The cylinder contains air at 17°C and

0.8x106 Pa. At what temperature will the safety valve trigger?

Answer 1

According to the combined gas law for constant volume:

$$T_T=P_TT_0/P_0,\\ T_T=10^6·(273+18)/(0.8·10^6)=364\text{ K},$$

or 364-273=91°C.