$(35$ points$)$ Given the following property data for $H_{2}O,$ designate the region $($or line or point$)$

in T$-$v or P$-$v space $($i$.$e$.,$ compressed liquid, liquid$-$vapor mixture, superheated vapor,

saturated liquid, etc.$)$ and find the value of the requested property or properties. Use the water

property tables given on Canvas $($Files$/$Handouts$/$ThermodyanmicPropertiesWater$.$pdf$)$

NOTE: This is a very important problem! It will help you develop skill in navigating steam

tables and will help you develop conceptual understanding of $P-v-$T space for a $2-$phase

substance. So$,$ please spend as much time as necessary to work this problem.

a$.T=820K,P=13\mathrm{.}5$MPa: Region $=?h=?$

b$.T=440K,P=5\mathrm{.}00$MPa: Region $=?h=?$

c$.T=740K,P=28$MPa:, Region $=?h=?$

d$.T=610K,P=0\mathrm{.}07$MPa: Region $=?h=?$

e$.T=440K,P=5\mathrm{.}00$MPa: Region $=?u=?$

f$.T=440K,P=0\mathrm{.}100$MPa: Region $=?v=?$

g$.,T=605K,P=6\mathrm{.}0$MPa:, Region $=u=?$