## Physics: Principles with Applications (7th Edition)

Use the ideal gas model. The amount of air, n, is constant. The value of PV/T remains constant. $$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$$ $$T_2=T_1\frac{P_2}{P_1}\frac{V_2}{V_1}$$ $$T_2=(293K)\frac{40atm}{1atm}\frac{1}{9}=1302K\approx1000^{\circ}C$$