PLEASE ANSWER ASAP AND USE THERMODYNAMICS LAWS AND RULES!! b$)$

As shown in the figure alongside, a system undergoing a power cycle develops a net power output of $1$ MW while receiving energy by heat transfer from steam condensing from saturated vapor to saturated liquid at a pressure of $100$ kPa $.$ Energy is discharged from the cycle by heat transfer to a nearby lake at $\backslash (17^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ These are the only significant heat transfers. Kinetic and potential energy effects can be ignored. For operation at steady state,

a$)$ determine the minimum theoretical steam mass flow rate, in $\backslash (\backslash$mathrm$\{$kg$\}/\backslash$mathrm$\{$s$\}\backslash ),$ required by any such cycle. $(10$ Mks$)$

b$)$ if the actual mass flow rate is $\backslash (0\mathrm{.}3\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash ),$ determine the thermal efficiency of the cycle. $(10$ Mks$)$