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 140.0 K. It then undergoes an adiabatic expansion so that its final volume is 0.420 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. T₁ = 265 K, and T = 405 K. W (B.1) What is the initial pressure of the gas, P₁, in pascals [Pa]? Pa (B.2) What is the total heat transfer, Q, to the gas, in joules []?

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 140.0 K. It then undergoes an adiabatic expansion so that its final volume is 0.420 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. T₁ = 265 K, and T = 405 K. W (B.1) What is the initial pressure of the gas, P₁, in pascals [Pa]? Pa (B.2) What is the total heat transfer, Q, to the gas, in joules []?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter21: Heat And The First Law Of Thermodynamics

Section: Chapter Questions

Problem 76PQ

See similar textbooks

Similar questions

A 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.00 atm and a volume of 12.0 L to a final volume of 30.0 L. (a) What is the final pressure of the gas? (b) What are the initial and final temperatures? Find (c) Q, (d) Eint, and (e) W for the gas during this process.
An ideal monatomic gas at a pressure of 2.0105N/m2 and a temperature of 300 K undergoes a quasi-static isobaric expansion from 2.0103 to 4.0103 cm3. (a) What is the work done by the gas? (b) What is the temperature of the gas after the expansion? (c) How many moles of gas are there? (d) What is the change in internal energy of the gas? (e) How much heat is added to the gas?
An ideal gas with specific heat ratio confined to a cylinder is put through a closed cycle. Initially, the gas is at Pi, Vi, and Ti. First, its pressure is tripled under constant volume. It then expands adiabatically to its original pressure and finally is compressed isobarically to its original volume. (a) Draw a PV diagram of this cycle. (b) Determine the volume at the end of the adiabatic expansion. Find (c) the temperature of the gas at the start of the adiabatic expansion and (d) the temperature at the end of the cycle. (e) What was the net work done on the gas for this cycle?
Figure P22.73 illustrates the cycle ABCA for a 2.00-mol sample of an ideal diatomic gas, where the process CA is a reversible isothermal expansion. What is a. the net work done by the gas during one cycle? b. How much energy is added to the gas by heat during one cycle? c. How much energy is exhausted from the gas by heat during one cycle? d. What is the efficiency of the cycle? e. What would be the efficiency of a Carnot engine operated between the temperatures at points A and B during each cycle?
As shown below, calculate the work done by the gas in the quasi-static processes represented by the paths (a) AB; (b) ADB; (c) ACB; and (d) ADCB. `
Five moles of a monatomic ideal gas in a cylinder at 27 is expanded isothermally from a volume of 5 L to 10 L. (a) What is the change in internal energy? (b) How much work was done on the gas in the process? (c) How much heat was transferred to the gas?
The arrow OA in the PV diagram shown in Figure OQ22.11 represents a reversible adiabatic expansion of an ideal gas. The same sample of gas, starting from the same state O. now undergoes an adiabatic free expansion to the same final volume. What point on the diagram could represent the final state of the gas? (a) the same point A as for the reversible expansion (b) point B (c) point C (d) any of those choices (e) none of those choices
(a) Calculate the work done by the gas along the closed path shown below. The curved section between R and S is semicircular. (b) If the process is carried out in the opposite direction, what is the work done by the gas?
A sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P17.68). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state. (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally. (f) Find Q, W, and Eint for each of the processes. (g) For the whole cycle A B C A, find Q, W, and Eint. Figure P17.68
(a) An ideal gas expands adiabatically from a volume of 2.0103 m3 to 2.5103 m3. If the initial pressure and temperature 5.0105 Pa and 300 K, respectively, what are the final pressure and temperature of the gas? Use =5/3 for the gas. (b) In an isothermal process, an ideal gas expands from a of 2.0103 m3 to 2.5103 m3. If the initial pressure and temperature were 5.0105 Pa and 300 K, respectively, what are the final pressure and temperature of the gas?