**100. Beginning with a pressure of 2.20 X 10° Pa and a volume of6.34 × 10-3 m², an ideal monatomic gas (y =}) undergoes an adia-batic expansion such that its final pressure is 8.15 x 104 Pa. An alterna-tive process leading to the same final state begins with an isochoriccooling to the final pressure, followed by an isobaric expansion to thefinal volume. How much more work does the gas do in the adiabaticprocess than in the alternative process?

Answered: **100. Beginning with a pressure of…

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

1) 1 mole of a monatomic ideal gas initially at 70 F and 0.83 atm is cooled; to 30 *F by placing the gas in thermal contact with the surroundings at 30 F (a) Calculate W, Q,AU, and AH in Joules if the cooling takes place at constant pressure. (b) Calculate W,Q, AU, and AH in Joules if the cooling takes place; at a constant volume.
Six moles of a monatomic ideal gas at (4 MPa, 4 L) is expanded isothermally until the volume is doubled (step 1). Then it is cooled isochorically until the pressure is 1 MPa (step 2). The temperature drops in this process. The gas is now compressed isothermally until its volume is back to 4 L, but its pressure is now 2 MPa (step 3). Finally, the gas is heated isochorically to return to the initial state (step 4). (a) Draw the four processes in the pV plane. P( MPa) p( MPa) P ( MPa) P( MPa) 8 1 3 1 3 4 4 2 2 4 1 1 V (L) V (L) V (L) V (L) 4. 8 1 2 4 8 (b) Find the total work done by the gas (in J).
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.
Nine moles of a monatomic ideal gas at (7 MPa, 7 L) is expanded isothermally until the volume is doubled (step 1). Then it is cooled isochorically until the pressure is 1 MPa (step 2). The temperature drops in this process. The gas is now compressed isothermally until its volume is back to 7 L, but its pressure is now 2 MPa (step 3). Finally, the gas is heated isochorically to return to the initial state (step 4). (a) Draw the four processes in the pV plane. p( MPa) p( MPa) p( MPa) 4 14 7 7 1 2 4 7 2 4 2 2 2 1 1 3 V (L) V (L) V (L) 7 7 14 7 14 p( MPa) 2 14 7 4 V (L) 7 (b) Find the total work done by the gas (in J).
Q3: In a closed vessel with a volume of 50 dm3 there are 2 moles of an ideal monoatomic gas with cv, m = 12.471 J K-1 mol-1 at 25°C. The vessel was heated to 125°C. Calculate the values of Q, W, AU, AH in Joules and the initial and final pressure in the system. R = 8,314 J K-1 mol-1. Cp,m = 20,785 J K-1 mol-1
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.
(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…
2) Calculate the volume change that occurs when 50cm3 of neon, treated as a perfect gas, is heated through 5.0K at 298K.
One mole of a monatomic ideal gas undergoes a cycle that has four steps. At point 1 it starts at a pressure of 3 × 105 Pa and a volume of 20 × 10-3 m3 It undergoes an isothermal expansion to point 2 to a new volume at of 8.0 × 10-3 m?. It then undergoes an isochoric process to point 3 until its pressure is half as much of what it was at point 2. It then goes through an isothermal compression to point 4 to a volume of 20 mL. It returns to point 1 via an isochoric step. What is the temperature of the gas at point 1? How much work is done by the gas in step 1 to 2? What is the pressure of the gas at point 2? What is the total work done by the gas in the entire cycle? A monatomic ideal gas (y = 5/3) is contained within a perfectly insulated cylinder that is fitted with a movable piston. The initial pressure of the gas is 1.5 x 105 Pa. The piston is pushed so as to compress the gas, with the result that the Kelvin temperature doubles. What is the final pressure of the gas? a. 4.91 ×…
4. A cylindrical tank 1.3m in diameter and 2m high contains methanol (CH3OH) at a pressure of 540 kPag and a temperature of 40°C. Later, because of leak, it was found that the gage pressure has dropped to 425 kPag, and the temperature has decreased to 28°C, determine the mass of methanol that has leaked out.
Q. what pressure is generated when 500 mol of methane is stored in a Volume of 0.06 m3 at 50 'C ? Base Calculations on each of the following: (a) The ideal_gas state. (B) The R/K equation. (c) SRK where Te= 190.6 K and P = 45.99 bar From Table B.1 (D) PR
1. One mole of an ideal gas at 10 atm pressure is contained in a vessel at 300K. The gas is expanded till the pressure becomes 2 atm and the temperature reaches 400K. Calculate the work done on the system and the heat absorbed by it if the change is brought about by the following processes:A] The gas is expanded isothermally against a constant external pressure of 2 atm, then heated to the desired temperature at constant volume, and finally expanded till the final state is reached.B] The gas is expanded by an isothermal reversible process, then heated to 400K, and again expanded reversibly till he final state is reached.C] The gas is first heated in an isochoric process and then expanded reversibly in an isothermal process.

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS