Problem $3$: Maximum Temperature Rise in a Water Tank

A water tank is completely filled with liquid water at $25C.$ The tank material is such that it can withstand tension caused by a volume expansion of $0\mathrm{.}9$ percent. Determine the maximum temperature rise allowed without jeopardizing safety. Assume that $=0\mathrm{.}000214C^{-1}$ for water at $25C.$

Given:

Initial temperature $(T0)=25C$

Volume expansion coefficient $()=0\mathrm{.}000214C^{-1}$

Volume expansion limit $=0\mathrm{.}9\%=0\mathrm{.}009$

Units:

Temperature $(C)$