Question B: A sample of 1.00 mole of a diatomic ideal gas is initially at temperature 265 K and volume 0.200 m. The gas first undergoes an isobaric expansion, such that its temperature increases by 110.0 K. It then undergoes an adiabatic expansion so that its final volume is 0.440 m. i. Sketch a PV diagram for the two-step process, including labeled initial, final, and intermediate states, and a two-part curve/path with an arrow indicating direction. Label the initial state "", the final state "f", and the intermediate state "b". Write down the known values for P, T, and v at each point, e.g. T = 265 K, and T = 37 K. (B.1) What is the initial pressure of the gas, P, in pascals [Pa]? P 11016.05 v Pa (B.2) What is the total heat transfer, Q, to the gas, in joules [J]? Q= Qtotal 3200 9 (B.3) What is.the tatal.work.done on the gas, W, in joules [3]? W = Wtotal Enter a number. Enter your answer for problem (B.3) for credit. First, use the following questions as intermediate steps; answers can be submitted to assess understanding of the problem along the way. ii. What is the work done on the gas in just the isobaric process, Wisobario in 3? Wsobaric = ii. What is the intermediate volume of the gas, Vp (after the isobaric process) in m? V = m3 iv.What is the final temperature, Tị, of the gas, in K? Use the known values of V, T and V (from part B.3.i), along with the relationship between temperature and volume for an adiabatic process. T =| K v.What is the work done on the gas in just the adiabatic process, Wadiabatio in 3? Wadiabatic = Check: Consider the First Law of Thermodynamics for this entire process. Does AEnn Cy (T - TJ= Qrotal + Wrotar
Question B: A sample of 1.00 mole of a diatomic ideal gas is initially at temperature 265 K and volume 0.200 m. The gas first undergoes an isobaric expansion, such that its temperature increases by 110.0 K. It then undergoes an adiabatic expansion so that its final volume is 0.440 m. i. Sketch a PV diagram for the two-step process, including labeled initial, final, and intermediate states, and a two-part curve/path with an arrow indicating direction. Label the initial state "", the final state "f", and the intermediate state "b". Write down the known values for P, T, and v at each point, e.g. T = 265 K, and T = 37 K. (B.1) What is the initial pressure of the gas, P, in pascals [Pa]? P 11016.05 v Pa (B.2) What is the total heat transfer, Q, to the gas, in joules [J]? Q= Qtotal 3200 9 (B.3) What is.the tatal.work.done on the gas, W, in joules [3]? W = Wtotal Enter a number. Enter your answer for problem (B.3) for credit. First, use the following questions as intermediate steps; answers can be submitted to assess understanding of the problem along the way. ii. What is the work done on the gas in just the isobaric process, Wisobario in 3? Wsobaric = ii. What is the intermediate volume of the gas, Vp (after the isobaric process) in m? V = m3 iv.What is the final temperature, Tị, of the gas, in K? Use the known values of V, T and V (from part B.3.i), along with the relationship between temperature and volume for an adiabatic process. T =| K v.What is the work done on the gas in just the adiabatic process, Wadiabatio in 3? Wadiabatic = Check: Consider the First Law of Thermodynamics for this entire process. Does AEnn Cy (T - TJ= Qrotal + Wrotar
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 68P: A sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig....
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![Question B: A sample of 1.00 mole of a diatomic ideal gas is initially at temperature 265 K and volume 0.200 m3. The gas first undergoes an isobaric expansion, such that its temperature increases by 110.0 K. It then undergoes an adiabatic expansion so that its final
volume is 0.440 m3.
i. Sketch a PV diagram for the two-step process, including labeled initial, final, and intermediate states, and a two-part curve/path with an arrow indicating direction. Label the initial state "i", the final state "f", and the intermediate state "b". Write down
the known values for P, T, and V at each point, e.g. T; = 265 K, and Th = 375 K.
(B.1) What is the initial pressure of the gas, Pi, in pascals [Pa]?
P; = 11016.05
Pa
(B.2) What is the total heat transfer, Q, to the gas, in joules [J]?
Q = Qtotal = 3200.9
(B.3) What is.the.total.work.done on the gas, W, in joules []]?
w = Wtotal =
Enter a number.
Enter your answer for problem (B.3) for credit. First, use the following questions as intermediate steps; answers can be submitted to assess understanding of the problem along the way.
ii.What is the work done on the gas in just the isobaric process, Wisobaric, in J?
Wisobaric
iii.What is the intermediate volume of the gas, Vp (after the isobaric process) in m³?
Vb =
m3
iv.What is the final temperature, Tf, of the gas, in K? Use the known values of Vf. Tb and Vp (from part B.3.ii), along with the relationship between temperature and volume for an adiabatic process.
Tf =
v. What is the work done on the gas in just the adiabatic process, Wadiabatic, in J?
Wadiabatic =
Check: Consider the First Law of Thermodynamics for this entire process.
Does AEint=n Cyv (Tf - T;)= Qtotal + Wtotal? v](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f6d1d36-7963-4790-9507-93be544a16eb%2F24f5e213-e2e5-4b6d-9545-a17cd7d2ba76%2Fjx25xl_processed.png&w=3840&q=75)
Transcribed Image Text:Question B: A sample of 1.00 mole of a diatomic ideal gas is initially at temperature 265 K and volume 0.200 m3. The gas first undergoes an isobaric expansion, such that its temperature increases by 110.0 K. It then undergoes an adiabatic expansion so that its final
volume is 0.440 m3.
i. Sketch a PV diagram for the two-step process, including labeled initial, final, and intermediate states, and a two-part curve/path with an arrow indicating direction. Label the initial state "i", the final state "f", and the intermediate state "b". Write down
the known values for P, T, and V at each point, e.g. T; = 265 K, and Th = 375 K.
(B.1) What is the initial pressure of the gas, Pi, in pascals [Pa]?
P; = 11016.05
Pa
(B.2) What is the total heat transfer, Q, to the gas, in joules [J]?
Q = Qtotal = 3200.9
(B.3) What is.the.total.work.done on the gas, W, in joules []]?
w = Wtotal =
Enter a number.
Enter your answer for problem (B.3) for credit. First, use the following questions as intermediate steps; answers can be submitted to assess understanding of the problem along the way.
ii.What is the work done on the gas in just the isobaric process, Wisobaric, in J?
Wisobaric
iii.What is the intermediate volume of the gas, Vp (after the isobaric process) in m³?
Vb =
m3
iv.What is the final temperature, Tf, of the gas, in K? Use the known values of Vf. Tb and Vp (from part B.3.ii), along with the relationship between temperature and volume for an adiabatic process.
Tf =
v. What is the work done on the gas in just the adiabatic process, Wadiabatic, in J?
Wadiabatic =
Check: Consider the First Law of Thermodynamics for this entire process.
Does AEint=n Cyv (Tf - T;)= Qtotal + Wtotal? v
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