From the life application, give an example for thermodynamic system, specify the type of system, establish the boundary, explain the energy interaction with the surrounding, the function from the system, and the usage of the system.

Describe a closed system with a moving boundary?

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

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.

Below is the dynamics of heat transfer: A container in an oven for instance dTc 1 1 ·TC+⋅ dt R+Ct -Tamb R+Ct In this equation, the container temperature Tc is the Output and the ambient temperature Tamb is the input. Thermal resistance and capacitance values are C+=7000 J/°C and R₁ = 0.0142858 W/°C. Initial condition is zero: Tc (0) = 0 °C. Obtain the transfer function of the system Create a table to compute its frequency response characteristics by considering low frequency region and high frequency region. Also consider a middle frequency. For low frequency region, consider a = 1e - 4 rad/s and w=1e-3-rad/s. For middle frequency, consider w=1e- 2 rad/s. For high frequency region, consider w = 1e-1 rad/s and w=1rad/s Using the magnitude and phase responses you tabulated, hand-sketch its Bode diagram. Clearly show low frequency and high frequency assumptions your drawing. Smoothen the diagram by considering the magnitude and phase at the middle frequency.

i need help with all parts in this question

A hot water leak in one of the faucets of your apartment can be very wasteful. A continuous leak of one quart per hour​ (a "slow"​ leak) at 155 degrees°F causes a loss of 1.81 million Btu per year. Suppose your water is heated with electricity. a. How many pounds of coal delivered to your electric utility does this leak equate to if one pound of coal contains 12,000 Btu and the boiler combustion process and water distribution system have an overall efficiency of 28​%? b. If a pound of coal produces 1.81 pounds of CO2 during the combustion​ process, how much extra carbon dioxide does the leaky faucet produce in a​ year

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I need help with parts d, e, and f please.

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