Using the data in the steam tables, determine the numerical values for the following:

$($a$)G^1$ and $G^v$ for saturated liquid and vapor at $900$kPa. Should these be the same?

$($b$)\frac{H^{lv}}{T}$ and $S^{lv}$ for saturation at $900$kPa. Should these be the same?

$($c$)($Optional$)V^R,H^R$ and $S^R$ for saturated vapor at $900$kPa. $($Hint: Assume steam at a low

pressure $($e$.$g$.1$kPa $)$ as an ideal gas so that the specific entropy and enthalpy can be calculated

from $S^{ig}$@$900$kPa$=S^{ig}$@$1$kPa$-nRln(\frac{900}{1})=S_{\text{@}1\text{k}\text{P}\text{a}}($from steam table$)-(\frac{1}{18})(8\mathrm{.}314)ln(\frac{900}{1})$ and

from steam table$)$

From the steam table data for $P^{\text{s}\text{a}\text{t}}$ at $875$ and $925$kPa, estimate the value of $d\frac{P^{\text{s}\text{a}\text{t}}}{d}T$ at $900$kPa

using the approximation $d\frac{P^{\text{s}\text{a}\text{t}}}{d}T$~~$\frac{P^{\text{s}\text{a}\text{t}}}{}T$ and apply the Clapeyron equation $($i$.$e$.d\frac{P^{\text{s}\text{a}\text{t}}}{d}T=$

$\frac{S^{1v}}{}{V}^{lv})$ to estimate $S^{lv}$ at $900$kPa. How well do these results agree with the steam table value?