Q2) Complete the table given below for a closed system undergoing a cycle. Show your solution in step by step manner. Process Qnet kJ Wnet kJ AU kJ 1-2 2-3 8 9. 3-4 -5 12 4-1 9. -1

The lagrangian, ' L ' is a scalar function equal to Time derivative of potential energy along the state trajectory Sum of potential kinetic energy and potential energy Divergence of the force field Difference of kinetic energy and potential energy

2. Prove the following equations for a simple compressible system: (a) du = cy dT + dv K (b) dh= cp dT + (v – aTv) dp KCy (c) ds aT dp + dv aTv %3D (d) da=-(apv + s) dT + kpv dp

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Your house has an electric water heater. Several friends are visiting you over the weekend and they are taking consecutive showers. Assume that at the maximum heating level, the heater uses 50 kW of electricity. The water use rate is a continuous 4 gallons per minute with the new water saving showerhead you recently installed. Your very old showerhead had used 7 gallons per minute. You replaced the showerhead because you learned that heating water was the second highest energy use in your home. By slowing the flow of water through the heater, the water temperature should increase to a higher temperature. (a) What is the change in temperature (T) for the old showerhead? (b) What is the change in temperature (T) for the new showerhead? Assume the system is at steady sate, and all of the 50 kW energy used is heating the water.

i need help with all parts in this question

Find the corresponding curves to match formulae of boundary work (one of the curves is isothermal process).                                                    Curve A                                                  Curve B                                                  Curve C A. Wb = PVln(V2/V1) B. Wb = P (V2 -V1) C. 0

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2. H On the cylindrical container above with a cross section area A we open a hole as shown with an area Ah. Initially the hole is closed. Ignoring all friction forces find: a) The pressure of the water at the bottom hole if it is closed and no water exits. b) Write the continuity and Bernoulli equation. c) Solve for the speed of the water as it leaves the hole. d) Assuming the velocity at the top is given by the function dy Vy = -C/y,(Vy = ) with y=0 at the height of the small hole and Ca known Constant. dt Solve the differential equation for the time it takes to empty the container as a function of C,h,H

While camping, you observe a lightning bolt, and 4.0 s later you hear the associatedthunder. How far away is the strike?