An ideal gas of N diatomic molecules (y = 1 + a) In terms of po, Vo, and N, find the 2/5 = 7/5) undergoes three consecutive transformations, as diagrammed below. temperatures T1, T2, Ta at all three "corners" of the cycle. b) In terms of Vo and y, find the volume V3 at point 3 of the cycle. • The transformation 1-2 is isobaric. • The transformation 2-3 is adiabatic. • The transformation 3-1 is isothermal. c) In terms of po and y, find the pressure pa at point 3 of the cycle. d) For each of the transformations 1-2, 2-3, 3-1, find the changes in internal energy AE1.2, AE23, AE31. • First hint: One of these is zero. Why? • Second hint: changes AE1.2, AE2.3, AE31 add up to? Po What should the three e) For each transformation, find the work done by the gas on its environment. Express your answer in terms of po and Vo. V Vo 5V. • Hint: You should be able to write down W2.3 without doing any new calculations. f) For each transformation, find the amount of heat flow into or out of the gas.

An ideal gas of N diatomic molecules (y = 1 + a) In terms of po, Vo, and N, find the 2/5 = 7/5) undergoes three consecutive transformations, as diagrammed below. temperatures T1, T2, Ta at all three "corners" of the cycle. b) In terms of Vo and y, find the volume V3 at point 3 of the cycle. • The transformation 1-2 is isobaric. • The transformation 2-3 is adiabatic. • The transformation 3-1 is isothermal. c) In terms of po and y, find the pressure pa at point 3 of the cycle. d) For each of the transformations 1-2, 2-3, 3-1, find the changes in internal energy AE1.2, AE23, AE31. • First hint: One of these is zero. Why? • Second hint: changes AE1.2, AE2.3, AE31 add up to? Po What should the three e) For each transformation, find the work done by the gas on its environment. Express your answer in terms of po and Vo. V Vo 5V. • Hint: You should be able to write down W2.3 without doing any new calculations. f) For each transformation, find the amount of heat flow into or out of the gas.

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

One mole of gas undergoes the cycle shown in the p-V diagram below. A Po B 1. D Po/32 Vo 2Vo 8V Volume 16V. (a) Classify each process in this cycle: A-B, B-C, C-D, and D-A. (b) Find y for this gas. (c) What type of gas is this, monatomic, diatomic, or polyatomic? Pressure
3 moles of an ideal diatomic gas undergoes the three process cycle as depicted in the figure below, The cycle is composed of an isobaric, isovolumetric, and isothermal process. For the given parameters Pa=P,=1.4 10 Pa and V-1 m, V,- V=0.6667 m³ calculate the following. (Take the universal gas constant as R=8.314 J-mol1 K) a) The pressure p. Pa b) The net work done by the gas W, net" e) The heat entering the cycle Qu= d) The thermal efficiency of the cycle (in percent): e
4. A container contains 0.200 mol of an ideal monoatomic gas. The gas undergoes a Camot cycle between 255°C and 25°C as shown in FIGURE 3 below. Its initial pressure is 9.25 x 10° Pa and its volume doubles đuring the isothermal expansion step a → b. P FIGURE 3 a. Determine i. the volume of the gas at point a, b,c, and d.
The following figure shows a three-stage separation process. The ratio Ps/D3 is 3, the ratio P2/D2 is 1, and the ratio of the amount of A to B in stream 2 is 4. Calculate the composition and amount of stream E. F-100 Ib S0% A 3 70% A 20% B 30% B 30% C D: D2 D3= 10 lb 50% A 17% A 0% C 23% B 10% B 2.
V. W. Th To %3D Room temperature T = 293 K V V. Vp The gas volume changes from Vp to Va at constant temperature T. The cartoon on the right shows a piston of gas undergoing this compression while submerged in a container of room temperature water, which acts as a reservoir. The initial state of this process is a piston containing 2 moles of a monatomic gas at Tc = 293 K (room temperature water) and volume V = a 1.0 m. The gas is compressed until V, = 0.2 m. During the compression, the heat bath of room temperature water maintains the temperature of the gas at T 293 K. Calculate the work done in joules by the gas during this process. Do not include units in your answer. Be careful to use the standard sign convention for work done by the gas. Write your numerical answer in normal form as described above in the instructions to this worksheet.
3. 4.50 mol of N2 gas (Cym = 20.6 J mol K') is enclosed in a piston-cylinder assembly (closed system) and undergoes the cycle depicted graphically below. Assuming N2 behaves as an ideal gas and Cm is temperature independent over the given temperature range, calculate q, w, AU, and AH for each segment. Label each segment with the type of process. Note: segment 2→3 follows the relationship PV = nRT . 1.) 20.0 L 2.) 50.0 L 3.) 5.00 bar T= T; = T, V (L) P (bar)
WA 4. a Th To Room temperature T = 293 K %3D V The gas volume changes from Vp to Va at constant temperature T. The cartoon on the right shows a piston of gas undergoing this compression while submerged in a container of room temperature water, which acts as a reservoir. The initial state of this process is a piston containing 2 moles of a monatomic gas at T, = 293 K (room temperature water) and volume V = 1.0 m. The gas is compressed until V, = 0.2 m. During the compression, the heat bath of room temperature water maintains the temperature of the gas at T = 293 K. Calculate the change in internal energy of the gas in joules during this process. Do not include units in your answer. Be careful to use the standard sign conventions for heat and work. Write your numerical answer in normal form as described above in the instructions to this worksheet. Click Save and Submit to save and submit. Click Save All Answers to save all answers. 28 F a
3.23 3.24 d 3.25. Gas at constant T and P is contained in a supply line connected through a valve to closed tank containing the same gas at a lower pressure. The valve is opened to allow flow of gas into the tank, and then is shut again. (a) Develop a general equation relating n1 and n2, the moles (or mass) of gas in the tank at the beginning and end of the process, to the properties U1 and U2, the internal energy of the gas in the tank at the beginning and end of the process, and H', the enthalpy of the gas in the supply line, and to Q, the heat transferred to the material in the tank during the process. (b) Reduce the general equation to its simplest form for the special case of an ideal gas with constant heat capacities. (c) Further reduce the equation of (b) for the case of n1 = 0. (d) Further reduce the equation of (c) for the case in which, in addition, Q = 0. (e) Treating nitrogen as an ideal gas for which Cp equation to the case in which a steady supply of nitrogen at 25°C and…
(5) Consider a gas that follows the equation of state NRT aN? p = V – bN V2 | 8a This is called van der Waals gas (a,b > 0). For temperatures T > Tc = p(V) is a 27RB monotonic decreasing function. Assume T > Tc and Cy = 3NR/2. Consider an insulated box with volume V, . The box was divided by a wall. One of the compartments had volume Vo at temperature To, filled with van der Waals gas of amount N, and the other was vacuum. The system was in equilibrium. (a) The wall was removed abruptly. The gas expanded and occupied the entire box. This process is called adiabatic free expansion. The temperature in the box is now T, in equilibrium. What is T, – T,? (b) The internal energy of the gas does not change by adiabatic free expansion. Why? (c) Instead of the abrupt removal, the wall was moved through adiabatic and quasi-static process, and the gas expanded to the entire volume of the box. The temperature in the box is now T, in equilibrium. What is T2? (d) Show T, > T2, using the arguments of…
Find J for the normal compression of 2 mol of ideal gas in the piston at a temperature of 311 K, from 1 bar to 10 bar. Gas constant R=8.314 J/(mol K).
7. One kg of CO2 has a volume of 1 m³ at 100°C. Compute the pressure by (a) Van der Waal's equation (b) Perfect gas equation. The constants have the following values: a = 362850 Nm*/(kg mol)? and b=0.0423 m³/kg mol. Also, Ro=8314 Nm/kg-mol K. [(a)p=70361N
2. For a certain gas, R = 0.377KJ/kg.K and k = 1.384. (a)What are the values of c, and a, ? (b) What mass of this gas would occupy a volume of 0.552 m at 517.11 kPa and 36.7 deg. Celsius? (c) If 31.65 kJ is transferred to this gas at constant volume, what are the resulting temperature and pressure? Use 2kgm