$12-60.$ A closed, rigid cylindrical tank having a height of $6$ m and a diameter of $2$ m initially contains air at $150C,550$kPa, and $10\%$ relative humidity. If the tank contents are cooled to $77C,$ determine

$($a$)$ if condensation occurs.

$($b$)$ the final pressure, in kPa $.$

$($c$)$ the heat transfer, in kJ$.$

$($d$)$ the change in entropy, in $k\frac{J}{K}.$