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Calculate the actual work done on the 200 g mass using W = mgh.  Be careful to use only the change in height of the mass.  How does this compare to the work done by the gas from step C?  Does the gas do any work other than lifting the 200 g mass?

Calculate the actual work done on the 200 g mass using W = mgh.  Be careful to use only the change in height of the mass.  How does this compare to the work done by the gas from step C?  Does the gas do any work other than lifting the 200 g mass?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Calculate the actual work done on the 200 g mass using W = mgh.  Be careful to use only the change in height of the mass.  How does this compare to the work done by the gas from step C?  Does the gas do any work other than lifting the 200 g mass?

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I. Objectives To determine the work done by the heat engine and its efficiency II. Procedures / Diagrams The experiment is done using the heat engine laboratory setup shown in Fig. 1. It is composed of the hot and cold water tanks, piston, 200 g mass and sensors to measure the pressure and temperature of the system. Metal can cylinder Piston Radius (m) 0.0235 Radius (m) 0.01625 Length (m) 0.11 Air Volume in Figure 1. Experimental Setup metal can (m³) 0.000191 PROCEDURE 1. The data gathered in this experiment are pressure, temperature and height of the piston at different steps of the cycle. The starting point is with the metal cylinder can in the cold water. This starting point will be called point A. The steps are as follows: Temperature (K) Height of piston (m) Pressure Position (Pa) A Preparation: The metal cylinder is in the cold water tank. B: The 200 g mass is placed on the piston platform. C: The metal cylinder is moved from cold bath to the hot bath. D: The 200 g mass is removed from the platform. A End: The metal cylinder is moved from the hot bath to the cold bath. A Prep 101984 275.15 0.028 104175 275.15 0.021 104445 356.15 0.051 2. Choose the assigned data for your group found at the end of this document. The gathered data shows you the respective pressure, temperature and piston height for each step of the cycle. It also gives the relevant dimensions of the metal cylinder and piston. 102091 356.15 0.058 A End 101984 275.15 0.028 3. Construct a Pressure vs. Total Air Volume plot of the cycle using the SparkVue application (Manual Entry). Input the values of pressure (y-axis) and total air volume (x-axis) in the application in proper order of the cycle's five steps (A Prep up to A End). 4. Once the plot has been drawn in the Spark Vue app, press the Eicon and choose Area. This will now show the area inside your plot. Take a screenshot of the graph of the cycle. Label the four corners of your graph as A, B, C, and D. Put arrows on the cycle to show the direction of the process. 5. Identify the types of processes (i.e., isothermal/isobaric, expansion/compression). I. Objectives The purpose of this experiment is to determine the work done of the heat engine and its efficiency. Area enclosed in the graph = 0.057658 II. Data and Result AIR CALCULATIONS Steps A → B B→ C CD D→ A Expansion or Compression Expansion Compression Compression Expansion Isobaric or Isothermic Radius, m Length, m Volume air, m Isothermic Can 0.0235 0.11 0.000191 Isothermic Isothermic Isothermic EXPERIMENT Radius of piston (m) = 0.01625 WORK CALCULATIONS GATHERED DATA COMPUTED DATA Position Pressure Vol of air Temperature ,K Height of Total volume Moles of air Work (J) Efficiency (%) ,Pa inside the of air, m present, mol Thermodynamic 0.057658 0.2886 piston, piston, m Mechanical 0.0588 0.2943 m A Prep 101984 275.15 0.028 -5 2. 3228 x 10 2. 1423 x 10 9. 5506 x 10 Heat added from C-D, Qcd (J) = 0.6005 J Heat added from B-C, Qbc (J) = 19.3798 J Total Heat Added Q = 19.9803 J Thermodynamic Efficiency (%) = 0.2886 % Useful work Energy Efficiency = 0.2943 % Carnot (Ideal) Efficiency = 22.7432 % 104175 275.15 -5 1.7421 x 10 B 0.021 2. 0842 x 10 -4 9. 4912 x 10 III. Calculations Faculty of Engineering Physics 1 Laboratory 104445 356.15 0.051 4. 2308 x 10 2. 3331 x 10 8. 2296 x 10 102091 -5 4. 8115 x 10 -4 356.15 0.058 2. 3912 x 10 8.2444 х 10 A End of cycle 101984 275.15 0.028 -5 2. 3228 x 10 -4 2. 1423 x 10 9. 5506 x 10
Transcribed Image Text:I. Objectives To determine the work done by the heat engine and its efficiency II. Procedures / Diagrams The experiment is done using the heat engine laboratory setup shown in Fig. 1. It is composed of the hot and cold water tanks, piston, 200 g mass and sensors to measure the pressure and temperature of the system. Metal can cylinder Piston Radius (m) 0.0235 Radius (m) 0.01625 Length (m) 0.11 Air Volume in Figure 1. Experimental Setup metal can (m³) 0.000191 PROCEDURE 1. The data gathered in this experiment are pressure, temperature and height of the piston at different steps of the cycle. The starting point is with the metal cylinder can in the cold water. This starting point will be called point A. The steps are as follows: Temperature (K) Height of piston (m) Pressure Position (Pa) A Preparation: The metal cylinder is in the cold water tank. B: The 200 g mass is placed on the piston platform. C: The metal cylinder is moved from cold bath to the hot bath. D: The 200 g mass is removed from the platform. A End: The metal cylinder is moved from the hot bath to the cold bath. A Prep 101984 275.15 0.028 104175 275.15 0.021 104445 356.15 0.051 2. Choose the assigned data for your group found at the end of this document. The gathered data shows you the respective pressure, temperature and piston height for each step of the cycle. It also gives the relevant dimensions of the metal cylinder and piston. 102091 356.15 0.058 A End 101984 275.15 0.028 3. Construct a Pressure vs. Total Air Volume plot of the cycle using the SparkVue application (Manual Entry). Input the values of pressure (y-axis) and total air volume (x-axis) in the application in proper order of the cycle's five steps (A Prep up to A End). 4. Once the plot has been drawn in the Spark Vue app, press the Eicon and choose Area. This will now show the area inside your plot. Take a screenshot of the graph of the cycle. Label the four corners of your graph as A, B, C, and D. Put arrows on the cycle to show the direction of the process. 5. Identify the types of processes (i.e., isothermal/isobaric, expansion/compression). I. Objectives The purpose of this experiment is to determine the work done of the heat engine and its efficiency. Area enclosed in the graph = 0.057658 II. Data and Result AIR CALCULATIONS Steps A → B B→ C CD D→ A Expansion or Compression Expansion Compression Compression Expansion Isobaric or Isothermic Radius, m Length, m Volume air, m Isothermic Can 0.0235 0.11 0.000191 Isothermic Isothermic Isothermic EXPERIMENT Radius of piston (m) = 0.01625 WORK CALCULATIONS GATHERED DATA COMPUTED DATA Position Pressure Vol of air Temperature ,K Height of Total volume Moles of air Work (J) Efficiency (%) ,Pa inside the of air, m present, mol Thermodynamic 0.057658 0.2886 piston, piston, m Mechanical 0.0588 0.2943 m A Prep 101984 275.15 0.028 -5 2. 3228 x 10 2. 1423 x 10 9. 5506 x 10 Heat added from C-D, Qcd (J) = 0.6005 J Heat added from B-C, Qbc (J) = 19.3798 J Total Heat Added Q = 19.9803 J Thermodynamic Efficiency (%) = 0.2886 % Useful work Energy Efficiency = 0.2943 % Carnot (Ideal) Efficiency = 22.7432 % 104175 275.15 -5 1.7421 x 10 B 0.021 2. 0842 x 10 -4 9. 4912 x 10 III. Calculations Faculty of Engineering Physics 1 Laboratory 104445 356.15 0.051 4. 2308 x 10 2. 3331 x 10 8. 2296 x 10 102091 -5 4. 8115 x 10 -4 356.15 0.058 2. 3912 x 10 8.2444 х 10 A End of cycle 101984 275.15 0.028 -5 2. 3228 x 10 -4 2. 1423 x 10 9. 5506 x 10
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