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Mechanical Engineering

Q3. 5 kg of water at T = 20° C and P = 7 bar is isobaricallyheated such that ΔU = 5000 kJ. (i) Find the initial and finalvolumes (in m3 ). (ii) Find Q and W (in kJ). (iii) Show the initialand final states on p-υ and T-υ diagrams (not to scale), denotingby arrows the direction of the process. Label the ‘f’ (saturatedliquid) and ‘g’ (saturated vapor) points. Also, indicate the valuesof υf and υg on the x-axis of both the p-υ and T-υ diagrams.

Q4. Water inside a closed, rigid tank is cooled from itscritical point to a final pressure of 10 MPa. (i) Sketch theprocess on p-Ï… and T-Ï… diagrams. Label the saturated liquid andsaturated vapor states. (ii) Find the quality of the water aftercooling. (iii) Calculate the heat transfer in kJ/kg.

Q5. Water of mass 1 kg contained in a piston-cylinderconfiguration is initially in a saturated liquid state (state A) at10 bar. The water undergoes the following thermodynamic cycle: AB-> The water is heated isobarically until the water is in asaturated vapor state. BC -> The system is then cooledisochorically until the pressure is 1 bar. CD -> The system isfurther cooled isobarically until Ï…D= Ï…A. DA -> The system isfinally heated isochorically back to state A. (i) Sketch this cycleon p-Ï… and T-Ï… diagrams (not to scale), using arrows to indicatethe direction of each process. (ii) For each of the four states Ato D, write down p, T and Ï…. (iii) For each of the four processes,evaluate the work and heat transfer (in kJ). (iv) What is thethermal efficiency of this power cycle?

Q6 (Bonus). Water of mass 2 kg in a closed, rigid tank isinitially in the form of a twophase liquid-vapor mixture. Theinitial temperature is 50° C. The mixture is heated until the tankcontains only saturated vapor at 110° C. (i) Find the initialpressure, in kPa. (ii) Find the work for the process, in kJ. (ii)Find the heat transfer for the process, in kJ.

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