2. Consider a metal rod with the equation of stateL- Lo = Lo+a(TYA%3DHere Lo, Y, A, To, and a are constants,T is the temperature, L is the length,and F is the tension. Work is given by dWa) Using the first law and the expression for dU in terms of it partial derivativeswith respect to T and L, show that for this system-FdL.(). -). G). (4). -se,b) By differentiating the first of these equations with respect to L and the secondwith respect to T show that),-r(器).=F-TƏTc) Using the above result and the equation of state, find an expression for(0/aL). Then, assuming that C. the heat capacity at constant length is aConstant. find an expression for the internal energy, U, as a function of T and L.

U is function of T & SS isfunction of T & LU= U(T,L)S= S(T, L)from partial…

2. onsider a metal rod with the equation of state L– Lo= Lo YA +a(T – To) - Here Lo, Y, A, To, and a are constants, T is the temperature, L is the length, and F is the tension. Work is given by dW = -F dL. a) Using the first law and the expression for dU in terms of it partial derivatives with respect to T and L, show that for this system ), - +(#), (#), -#().-) ƏT ƏT T b) By differentiating the first of these equations with respect to L and the second with respect to T show that = F -T ƏT Te

2. onsider a metal rod with the equation of state L– Lo= Lo YA +a(T – To) - Here Lo, Y, A, To, and a are constants, T is the temperature, L is the length, and F is the tension. Work is given by dW = -F dL. a) Using the first law and the expression for dU in terms of it partial derivatives with respect to T and L, show that for this system ), - +(#), (#), -#().-) ƏT ƏT T b) By differentiating the first of these equations with respect to L and the second with respect to T show that = F -T ƏT Te

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The initial state (state 1 ) of a system containing 1.0 kg of water is 110 Co and 0.4 m3 volume . The water is now heated to state 2 through the path shown at which the final pressure is 500 kpa and temperature of 200 Co. Find the work and heat transfer in this process
Phase change occurs at
A piston/cylinder system with a radius of 1m is filled with 0.75kg water at 50˚C and has an initial piston height of 2m (state 1). Heat was transferred to the system such that the water at state 2 became saturated vapor. Afterward, the piston is locked, and the system is heated to 165˚C (state 3).Given the data above, calculate the work, heat transfer, and height of the piston, and create a p-v diagram for the entirety of the process.
2. Complete this table for H,O: T, °C Р. КРа v, m³/kg Phase description 140 0.05 550 750 Saturated liquid 125 500 0.140
HOW MANY STATE AND EQUILIBRIUM EXPLAIN IT BRIEFLY?
1-) Complete this table for H,O: T, °C P, kPa h, kJ/kg Phase description 200 0.7 140 1800 950 0.0 80 500 800 3162.2 2-) Determine the temperature and internal energy of water at a state of P-0.5 MPa and h=2893 kj/kg. Note: Linear interpolation will be performed. REDMI NOTE 8 AI QUAD CAMERAank contains steam at 220 °C. One- third of the volume is in the liquid phase and the rest is in the vapor form. Determine (a) the pressure of the steam, (b) the
An amount of an ideal gas undergoes the process shown in the diagram below. Assume that during the entire cycle, the number of moles of the ideal gas stays constant. Р. A В V (a) What are the signs of Way the gast Q, and AEint for the process CA? positive positive Wby the gas AEint zero (b) What are the signs of Wby the gas Q, and AEint for the process AB? negative negative zero W by the gas AEint (c) What are the signs of Wby the gas: Q, and AEint for the process BC? Wby the gas positive Q negative DE int zero
Need help with c , d and e please
2) Two glass bulbs, one on the left with a volume of 2 liters and the other on the right with avolume of 6 liters, are connected to one another by a thin tube that is initially closed by astopcock. The bulb on the left has 0.1 moles of ideal gas, and the bulb on the right isevacuated. The system is in thermal equilibrium with the surroundings at 300K. When thestopcock is opened, the gas flows out to fill both bulbs. Calculate A for this process. If wewere to insert a propeller to extract work as the gas flows from left to right, what is themaximum amount of work that we could possibly extract?
Please fast. K=66666.7N Ans
5) A fluid fits the following equation of state. a= 10-3 m3K/(bar*mol) ve b = 8*10-5 m3/molFor this fluid, the average Cp value between 0-300 0C at 1 bar is 33.5 J / mol.K.a) Calculate the average Cp value in the 0-300 0C temperature range for 12 barpressure.b) Calculate the enthalpy and entropy change when the fluid is brought from 4 bar and300 K to 12 bar and 400 K.
9