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Written Question: You have just started your new job at Gas-n-Giggles, a company that specializes in fossil-fuel based baby toys. Your first task is to analyze three design proposals for a gasoline-powered machine to entertain babies. Each design has air (use C₁ = 5/2R) in a cylinder with a piston that moves down or up in response to cooling/heating. The added heat in the various processes comes from burning gasoline (35MJ/L). The processes associated with the three designs (for a fixed baby weight) may be modeled by the following PV diagrams, where in all cases, the temperature for the bottom-left corner of the cycle is 300K. P(kPa) 200 120 P (KPM) -isothermal P(kPa) ✓adiabatic 120 120 (B) →V IOL 30L IOL 30L V 10 L 30L Pediatric psychologists have found that the happiness of a baby on such a device is proportional to the net work performed on them per time, regardless of the design. Which if the three designs is most efficient if we wish to produce a certain amount of net work by burning the least amount of fuel? For this design, what amount of gasoline do we need to burn per hour if we want the baby to move up and down 10 times per minute?

Written Question: You have just started your new job at Gas-n-Giggles, a company that specializes in fossil-fuel based baby toys. Your first task is to analyze three design proposals for a gasoline-powered machine to entertain babies. Each design has air (use C₁ = 5/2R) in a cylinder with a piston that moves down or up in response to cooling/heating. The added heat in the various processes comes from burning gasoline (35MJ/L). The processes associated with the three designs (for a fixed baby weight) may be modeled by the following PV diagrams, where in all cases, the temperature for the bottom-left corner of the cycle is 300K. P(kPa) 200 120 P (KPM) -isothermal P(kPa) ✓adiabatic 120 120 (B) →V IOL 30L IOL 30L V 10 L 30L Pediatric psychologists have found that the happiness of a baby on such a device is proportional to the net work performed on them per time, regardless of the design. Which if the three designs is most efficient if we wish to produce a certain amount of net work by burning the least amount of fuel? For this design, what amount of gasoline do we need to burn per hour if we want the baby to move up and down 10 times per minute?

University Physics Volume 2
University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter3: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 95CP: One mole of an ideal gas is initially in a chamber of volume 1.0102 m3 and at a temperature of 27 ....
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Written Question: You have just started your new job at Gas-n-Giggles, a company that specializes in fossil-fuel based baby toys. Your first task is to analyze three design proposals for a gasoline-powered machine to entertain babies. Each design has air (use C₁ = 5/2R) in a cylinder with a piston that moves down or up in response to cooling/heating. The added heat in the various processes comes from burning gasoline (35MJ/L). The processes associated with the three designs (for a fixed baby weight) may be modeled by the following PV diagrams, where in all cases, the temperature for the bottom-left corner of the cycle is 300K. P(kPa) 200 120 P (KPM) -isothermal P(kPa) ✓adiabatic 120 120 (B) →V IOL 30L IOL 30L V 10 L 30L Pediatric psychologists have found that the happiness of a baby on such a device is proportional to the net work performed on them per time, regardless of the design. Which if the three designs is most efficient if we wish to produce a certain amount of net work by burning the least amount of fuel? For this design, what amount of gasoline do we need to burn per hour if we want the baby to move up and down 10 times per minute?
Transcribed Image Text:Written Question: You have just started your new job at Gas-n-Giggles, a company that specializes in fossil-fuel based baby toys. Your first task is to analyze three design proposals for a gasoline-powered machine to entertain babies. Each design has air (use C₁ = 5/2R) in a cylinder with a piston that moves down or up in response to cooling/heating. The added heat in the various processes comes from burning gasoline (35MJ/L). The processes associated with the three designs (for a fixed baby weight) may be modeled by the following PV diagrams, where in all cases, the temperature for the bottom-left corner of the cycle is 300K. P(kPa) 200 120 P (KPM) -isothermal P(kPa) ✓adiabatic 120 120 (B) →V IOL 30L IOL 30L V 10 L 30L Pediatric psychologists have found that the happiness of a baby on such a device is proportional to the net work performed on them per time, regardless of the design. Which if the three designs is most efficient if we wish to produce a certain amount of net work by burning the least amount of fuel? For this design, what amount of gasoline do we need to burn per hour if we want the baby to move up and down 10 times per minute?
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