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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 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 m2. 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 Tp = 375 K. (B.1) What is the initial pressure of the gas, P, in pascals [Pa]? P, V Pa Enter a number. (B.2) What is the total heat transfer, Q, to the gas, in joules [J]? Q= Qtotal = (B.3) What is the total work done on the gas, W, in joules [J]? W = Wtotal = 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, Wisobaricr in 3? Wisobarie ii. What is the intermediate volume of the gas, Vp (after the isobaric process) in m³? iv. What is the final temperature, Tị, of the gas, in K? Use the known values of Vi, T and V (from part B.3.i), along with the relationship between temperature and volume for an adiabatic process. K v. What is the work done on the gas in just the adiabatic process, Wadiabaticr in J? Wadiabatic

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 m2. 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 Tp = 375 K. (B.1) What is the initial pressure of the gas, P, in pascals [Pa]? P, V Pa Enter a number. (B.2) What is the total heat transfer, Q, to the gas, in joules [J]? Q= Qtotal = (B.3) What is the total work done on the gas, W, in joules [J]? W = Wtotal = 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, Wisobaricr in 3? Wisobarie ii. What is the intermediate volume of the gas, Vp (after the isobaric process) in m³? iv. What is the final temperature, Tị, of the gas, in K? Use the known values of Vi, T and V (from part B.3.i), along with the relationship between temperature and volume for an adiabatic process. K v. What is the work done on the gas in just the adiabatic process, Wadiabaticr in J? Wadiabatic

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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]? Pi = Pa Enter a number. (B.2) What is the total heat transfer, Q, to the gas, in joules [J]? Q = Qtotal = (B.3) What is the total work done on the gas, w, in joules [J]? w = Wtotal = 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 = ii. Wh is the intermediate volume of gas, Vb (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, Th and Vh (from part B.3.iii), 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 Cy (Tf- T;)= Qtotal + Wtotal? v
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]? Pi = Pa Enter a number. (B.2) What is the total heat transfer, Q, to the gas, in joules [J]? Q = Qtotal = (B.3) What is the total work done on the gas, w, in joules [J]? w = Wtotal = 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 = ii. Wh is the intermediate volume of gas, Vb (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, Th and Vh (from part B.3.iii), 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 Cy (Tf- T;)= Qtotal + Wtotal? v
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