please give me answers for all the questions

(a) Sketch P (pressure) - v (specific volume) diagram of the Carnot cycle and explain what are the four processes that make up the Carnot heat engine. [5 marks] (b) A steam power plant operates on a simple ideal Rankine cycle. Steam enters the turbine at 0.5 MPa and 300C and is cooled in the condenser at a pressure of 10kPa by running cooling water from a lake through the tubes of the condenser. The mass flow rate of the steam is 0.1kg/s. Page 2 of 5 i. Show the cycle on a T-s diagram with respect to saturation lines. [04 marks] ii. Calculate the Carnot efficiency of the cycle. [01 marks] iii. Determine the temperature and dryness fraction of the steam at the turbine exit. [04 marks] iv. Calculate power output of the turbine and power input to the pump. [02 marks] v. Calculate the amount of heat supplied to the boiler. [02 marks] vi. Determine thermal efficiency of the cycle. [02 marks]