Carnot Cycle problem:

A Carnot cycle consists of $4$ processes:

$12$ : reversible adiabatic compression from a low temperature to a high temperature. Note: this process is isentropic

$23$ : reversible isothermal expansion at the high temperature

$34$ : reversible adiabatic expansion from a high temperature to a low temperature. Note: this process is isentropic

$41$ : reversible isothermal compression at the low temperature

Sketch the process in a Pv diagram and in a Ts diagram. Note that in the Ts diagram you should have a rectangle: there are two isentropic processes and $2$ isothermal processes. No vapor dome.

A mass of $1$ kg of water executes a Carnot cycle. The high temperature isothermal expansion is from $P2=\frac{15}{b}ar,x2=0,25$ to the saturated vapor state. The adiabatic expansion is to $P4=1$ bar. Analyze the system, by doing the following steps:

Start with characterizing each state. Start with state $2.$ Then $3,4,1.$ Make use of the insetropicity to characterize state $4$ and state $1.$

Calculate the work and the heat and the change in internal energy for each process $($apply first law of thermodynamics for each process$).$

Calculate the net work of the cycle

Calculate the efficiency of the cycle $($net work$/$heat input$)$

Make a summary table and do the check $($first law for cyclic process$).$