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Two moles of nitrogen are initially at 10 bar and 600 K (state 1) in a horizontal piston/cylinder device. They are expanded adiabatically to 1 bar (state 2). They are then heated at constant volume to 600 K (state 3). Finally, they are isothermally returned to state 1. Assume that N2 is an ideal gas with a constant heat capacity as given on the back flap of the book (2.5*R for CV). Neglect the heat capacity of the piston/cylinder device. Supposed that heat can be supplied or reject as illustrated below. Assume each step of the process is reversible.     Note: The figure is not shown but it consists of what is known as the Carnot Engine (Hot and Cold Reservoirs, Removable Insulation, and lid

Two moles of nitrogen are initially at 10 bar and 600 K (state 1) in a horizontal piston/cylinder device. They are expanded adiabatically to 1 bar (state 2). They are then heated at constant volume to 600 K (state 3). Finally, they are isothermally returned to state 1. Assume that N2 is an ideal gas with a constant heat capacity as given on the back flap of the book (2.5*R for CV). Neglect the heat capacity of the piston/cylinder device. Supposed that heat can be supplied or reject as illustrated below. Assume each step of the process is reversible.     Note: The figure is not shown but it consists of what is known as the Carnot Engine (Hot and Cold Reservoirs, Removable Insulation, and lid

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Two moles of nitrogen are initially at 10 bar and 600 K (state 1) in a horizontal piston/cylinder device. They are expanded adiabatically to 1 bar (state 2). They are then heated at constant volume to 600 K (state 3). Finally, they are isothermally returned to state 1. Assume that N2 is an ideal gas with a constant heat capacity as given on the back flap of the book (2.5*R for CV). Neglect the heat capacity of the piston/cylinder device. Supposed that heat can be supplied or reject as illustrated below. Assume each step of the process is reversible.

 

 

Note: The figure is not shown but it consists of what is known as the Carnot Engine (Hot and Cold Reservoirs, Removable Insulation, and lid that performs Ws)

  • (a) Calculate the heat transfer and work done on the gas for each step and overall.
  • (b) Taking state 1 as the reference state, and setting URig = 0, calculate U and H for the nitrogen at each state, and ΔU and ΔH for each step and the overall Q and WEC.
  • (c) The atmosphere is at 1 bar and 298 K throughout the process. Calculate the work done on the atmosphere for each step and overall (Hint: Take the atmosphere as the system.) How much work is transferred to the shaft in each step and overall?
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