[QUE/TH-02004] TH-PROBLEM

A metal, whose volume expansivity is 5.0$\times10^{-5}$ K$^{-1}$ and isothermal compressibility is $1.2\times10^{-11}$Pa$^{-1}$, is at a pressure of $1\times10^5$ Pa and a temperature of 20$^\circ$C. A thick surrounding cover of invar, of negligible compressibility and expansivity, fit is very snugly.

• [(a)] What will be the final pressure if the temperature is raised to 32$^\circ$C?
• [(b)] If the cover can with stand a maximum pressure of $1.2\times10^8$Pa, what is the highest temperature two which the system may be raised?