Water at $\backslash (500\backslash$mathrm$\{$kPa$\},280^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ is contained in a closed piston$-$cylinder assembly with an initial volume of $\backslash (23\mathrm{.}66\backslash$mathrm$\{$~m$\}^\{3\}\backslash ).$

$($I$)$ The water is compressed to $10$ MPa in a process were $\backslash (\backslash$mathrm$\{$PV$\}^\{$n$\}=\backslash )$ constant $($exponent $\backslash (\backslash$mathrm$\{$n$\}=0\mathrm{.}8544\backslash )).$ The surroundings are constant at $\backslash (200^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$

All answers should have $4-5$ significant figures.

$($a$)$ Draw a picture of the initial and final states, and write the given information under each.

Determine the INITIAL

$($b$)$ Phase.

$($c$)$ Specific Volume.

$($d$)$ Quality

$($e$)$ Mass

$($f$)$ Specific Internal Energy.

$($g$)$ Specific Entropy.

Determine the FINAL

$($h$)$ Volume. $(3$ significant figures$)$

$($i$)$ Specific Volume.

$($j$)$ Phase

$($k$)$ Quality.

$($I$)$ Specific Internal Energy.

$($m$)$ Specific Entropy.

$($n$)$ Calculate the work for this process $($in kJ $).$

$($o$)$ Calculate the heat transfer for this process $($in kJ $).$

$($p$)$ Calculate the change in entropy for the system.

$($q$)$ Calculate the change in entropy for the surroundings.

$($r$)$ Calculate the net entropy change for this process.

$($s$)$ Is this process reversible, irreversible, or impossible?

$($II$)$ The water is then compressed at constant pressure until the volume is $\backslash (0\mathrm{.}05400\backslash$mathrm$\{$~m$\}^\{3\}\backslash ).$ Determine the FINAL

$($t$)$ Specific Volume.

$($u$)$ Phase

$($v$)$ Quality.

$($w$)$ Specific Internal Energy.

$($x$)$ Specific Entropy

$($y$)$ Calculate the work for this process $($in kJ $).$

$($z$)$ Calculate the heat transfer for this process $($in kJ $).$

$($aa$)$ Calculate the change in entropy for the system.

$($ab$)$ Calculate the change in entropy for the surroundings.

$($ac$)$ Calculate the net entropy change for this process.

$($ad$)$ Is this process reversible, irreversible, or impossible?

$($ae$)$ Calculate the total work for this entire process $($in kJ $).$

$($af$)$ Calculate the total heat transfer for this entire process $($in kJ $).$

$($ag$)$ Calculate the net entropy change for this entire process.

$($ah$)$ Is this entire process reversible, irreversible, or impossible?