Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 13.2, Problem 3cT
To determine
The heat transfer to the boiling water.
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WA
V
Th
To
= 293 K
Room temperature T.
V
Vo
Vo
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 T, = 293 K (room temperature water) and volume Vh =
1.0 m3. The gas is compressed until Va = 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.
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A heat pump with a COP of 2.8 is used to heat an air-tight house. When running, the heat pump consumes 5 kW of power. If the temperature in the house is 7°C when the heat pump is turned on, how long will it take for the heat pump to raise the temperature of the house to 22°C? Is this answer realistic or optimistic? Explain. Assume the entire mass within the house (air, furniture, etc.) is equivalent to 1500 kg of air.
Compressing air to fill a scuba tank warms it up. A dive shop compensates by putting the tank in a tub of water, keeping the tank and the gas inside it at a constant temperature as it is filled. If the system is the tank, what are the signs of W and Q for this process? What can you say about the relative magnitudes of W and Q?
Chapter 13 Solutions
Tutorials in Introductory Physics
Ch. 13.1 - Prob. 1aTCh. 13.1 - In the space provided, draw an arrow to indicate...Ch. 13.1 - Prob. 1cTCh. 13.1 - Prob. 1dTCh. 13.1 - Prob. 1eTCh. 13.1 - Prob. 2aTCh. 13.1 - Prob. 2bTCh. 13.1 - Consider the following student dialogue. Student...Ch. 13.1 - Sketch the process described in section II on the...Ch. 13.1 - Prob. 3bT
Ch. 13.1 - Prob. 4aTCh. 13.1 - A student looks up the molar masses and finds the...Ch. 13.1 - Prob. 4cTCh. 13.2 - Recall the definition of work done on an object by...Ch. 13.2 - Prob. 1bTCh. 13.2 - Prob. 1cTCh. 13.2 - Prob. 2aTCh. 13.2 - Does the internal energy of a gas in an insulated...Ch. 13.2 - Two students are discussing process 1: Student 1:...Ch. 13.2 - Imagine that the cylinder from section II is no...Ch. 13.2 - In process 2, is the heat transfer to the gas...Ch. 13.2 - Prob. 3cTCh. 13.2 - Prob. 4aTCh. 13.2 - In process 1 (section II) you did not need to...Ch. 13.2 - In process 2 (section III) you did not need to...Ch. 13.2 - Prob. 4dTCh. 13.2 - How does the compression in process 3 differ from...Ch. 13.2 - A student is considering process 3: “The...
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- One mole of an ideal gas is contained in a cylinder with a movable piston. The initial pressure, volume, and temperature are Pi, Vi, and Ti, respectively. Find the work done on the gas in the following processes. In operational terms, describe how to carry out each process and show each process on a PV diagram. (a) an isobaric compression in which the final volume is one-half the initial volume (b) an isothermal compression in which the final pressure is four times the initial pressure (c) an isovolumetric process in which the final pressure is three times the initial pressurearrow_forwardA constant mass of an ideal gas is heated from 300 K to 1000 K in a piston cylinder device while maintaining the pressure constant either at 1 bar (process A) or at 10 bars (Process B). Ignore KE and PE changes. Which of the following is true regarding heat transfer in the two processes? You MUST Justify your answer with equations to receive any credit on this problem. I. Qa=QB II. QAQB IV. Insufficient information.arrow_forward-70 J of work are done on the gas in the process shown in (Figure 1). Figure p (kPa) P₁ 0+ 0 100 200 300 < 1 of 1 V (cm³) Part A What is p₁ in kPa? Express your answer in kilopascals. P1 = Submit VE ΑΣΦ Provide Feedback Request Answer ***** ? kPaarrow_forward
- Calculate the Q, ΔU, and W for the following processes. 1. isothermal compression of a gas from 150 cm³ to 50 cm³, where P = 1.5 atm A. What is the value of Q (J) associated to this process? B. What is the value of ΔU (J) associated to this process? C. What is the value of W (J) associated to this process? 2. isochoric cooling of 1 mol CO₂ from 400 °C to 40 °C, where V = 2.5 L A. What is the value of Q (J) associated to this process? B. What is the value of ΔU (J) associated to this process? C. What is the value of W (J) associated to this process? 3. adiabatic compression of a gas from 850 mL to and 275 mL at P = 200 kPa A. What is the value of Q (J) associated to this process? B. What is the value of ΔU (J) associated to this process? C. What is the value of W (J) associated to this process?arrow_forward0.0042 mol of gas undergoes the process shown in (Figure 1). You may want to review (Pages 503 - 508). igure p (atm) 3 2 1 0- 0 100 2 200 300 1 of 1 V (cm³) Part B What is the initial temperature in °C? Express your answer using two significant figures. T₁ = Submit Part C Tf = What is the final temperature in °C? Express your answer using two significant figures. Submit VG ΑΣΦ Provide Feedback Request Answer ΑΣΦ Request Answer ? 11? °Carrow_forwardA monoatomic ideal gas is taken through the cycle A→B→C→A shown in the figure. Express all the answers below in terms of p0 and V0. a)Find the work WA→B done by the gas during process A → B. b) Find the heat QA→B flowing into the gas during the process A → B. c)Find the work WB→C done by the gas during the process B → C.arrow_forward
- -80J of work are done on the gas in the process shown in (Figure 1). Figure p (kPa) P₁- 0 0 100 200 300 1 of 1 V (cm³) Part A What is p₁ in kPa? Express your answer in kilopascals. P1 = Submit IVE ΑΣΦ Provide Feedback Previous Answers Request Answer ? kPaarrow_forward1. 0.10 mol of argon gas is admitted to an evacuated 0.25 ma container at 206C. The gas then undergoes an isobaric heating to a temperature of 300-C. a) What is the final volume of the gas? b) Show the process on a pV diagram. Label both axes and include a proper scale. c) How much work is done on or by the gas in this process?arrow_forwardOne mole of a monatomic gas at P1 and V1 follows the quasistatic process from state 1→2→3 where the gas goes through an isobaric (constant pressure) expansion until V2 = 3V1, followed by an isochoric (constant volume) compression until arrives at the initial temperature. Graph this process on a P-V diagram. Label axes, label each process segment, and include proper scales. How much heat is exchanged between processes 1 → 2 and 2 → 3 in terms of P1 and V1?arrow_forward
- The heat engine shown in the figure uses 2.0 mol of a monatomic gas as the working substance. (Figure 1) Figure p (kPa) 600 400 200 0 0 0,025 0.050 V (m³) 1 of 1 Part A Determine T₁, T2, and T3- Enter your answers numerically separated by commas. Express your answer using two significant figures. T₁, T2, T3 Submit Correct Part B 600,1800,1200 K Previous Answers Determine AEth, Ws, and Q for 1-2. Enter your answers numerically separated by commas. Express your answer using two significant figures. IVE ΑΣΦ AEth, Ws, Q=29930.4, 12500,42430.4 Submit Previous Answers Request Answer ? J X Incorrect; Try Again; 3 attempts remaining Term 2: Review your calculations and make sure you round to 2 significant figures in the last step.arrow_forwardAt one moment, an ideal gas occupies a volume of 1.2 Liters at a pressure of 2.00x10^5 Pa. It is cooled at constant pressure to a temperature of 1/3 it’s initial temp. A. What is the new volume of the gas (in Liters)? B. How many joules of work were done BY the gas in this process (be careful on whether this quantity is positive or negative)? C. “The internal energy of the gas increased during this process” Is this true or false?arrow_forwardThe heat engine shown in the figure uses 2.0 mol of a monatomic gas as the working substance. (Figure 1) Figure p (kPa) 600 400 200- 0 0 0.025 0.050 V (m³) Part A Determine T₁, T₂, and T₁. Enter your answers numerically separated by commas. Express your answer using two significant figures. T₁ T₂. T₂ = 600,1800,1200 K Submit Previous Answers ✓ Correct Part B Determine AEth. W. and Q for 1-2. Enter your answers numerically separated by commas. Express your answer using two significant figures. AEth. Ws. Q = 3.0x104.1.3x104.4.3x104 J Submit ✓ Correct ▾ Part C Previous Answers Determine AEth. W. and Q for 2-3. Enter your answers numerically separated by commas. Express your answer using two significant figures. AEth. Ws. Q= Submit ▾ Part D ΠΑΣΦ Request Answer I ? Jarrow_forward
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