You are working as an expert witness for an environmental agency. A utility in a neighboring town has proposed a new power plant that produces electrical power P from turbines. The utility claims that the plant will take in steam at temperature Th and reject water at temperature Tc into a flowing cold-water river. The flow rate of the river is Δm/Δt. The agency supervisor is concerned about the effect of dumping warm water on the fish in the river. (a) The utility claims that the power plant operates with Carnot efficiency. With that assumption, you need to determine for a trial presentation by how much the temperature of the water downstream from the power plant will rise due to the rejected energy from the power plant. (b) If you abandon the utility’s claim that the power plant operates at Carnot efficiency and assume a more realistic efficiency e, you need to determine the increase in water temperature in the stream. (c) Finally, you need to testify whether the increase in water temperature in part (b) will be higher or lower than that found in part (a).
Want to see the full answer?
Check out a sample textbook solutionChapter 21 Solutions
Physics for Scientists and Engineers with Modern Physics
- I need help solving number 11. In question 1, they say U=(3/2)PV I found work on the gas as -3/2PV, so therefore Q should be 6/2PV but the answer key says 6PV.arrow_forwardIn an industrial process, a fuel-air mixture is fitted with a piston. When the mixture is ignited at a constant pressure of 700mm Hg, 2.0 kJ of energy is released and is found to occupy a final volume of 200L. What would be the initial volume occupied by the mixture if all energy released is converted as work done by the system to push the piston?arrow_forwardA 50 W electric heater (1 W = 1 J/s) operates for 10.0 minutes to heat a gas in a cylinder. At the same time, the gas expands from 6 to 12 L against to a constant pressure of 3.2 atm. Calculate for the amount of heat.arrow_forward
- An inventor is claiming that she has developed a heat engine that can operate with a thermal efficiency of η = 37% while operating between high and low temperature thermal reservoirs at Th = 305 K and Tc = 260 K . Evaluate her claim. Is this claim possible? Yes or Noarrow_forwardA 100-W lightbulb is placed in a cylinder equipped with a moveable piston. The lightbulb is turned on for 0.015 hour, and the assembly expands from an initial volume of 0.85 L to a final volume of 5.88 L against an external pressure of 1.0 atm. Use the wattage of the lightbulb and the time it is on to calculate ΔE in joules (assume that the cylinder and lightbulb assembly is the system and assume two significant figures). Calculate w and q.arrow_forwardIf you had an uninsulated air compressor which required W(in)= 400 kW to take air from a state at 80 kPa and 20C and change it to a state at 800 kPa and 200C, what would the rate of Q be? Assume the air enters via a 10 cm diameter pipe at 20 m/s.arrow_forward
- An ideal gas is compressed isothermally (constant temp) from a volume of Vi = 6.00 L to a volume of Vf = 3.00 L while in thermal contact with a heat reservoir at T = 295 K as in the figure below. During the compression process, the piston moves down a distance of d = 0.145 m under the action of an average external force of F = 20.5 kN. Find the thermal energy Q exchanged between the gas and the reservoir?arrow_forwardA heat engine does work Weng while absorbing energy Qh from the hot reservoir and expelling energy Qc to the cold reservoir. Which one of the following is impossible? (a) |Qh| > |Qc| > Weng (b) |Qh| > Weng > |Qc| (c) |Qh| > Weng = |Qc| (d) Weng > |Qh| (e) Weng > |Qc|arrow_forwardConsider the process shown in (Figure 1). Figure p (kPa) 400- EV 200- 100 200 300 0₁ 0 V (cm³) 1 of 1 How much work is done on the gas in this process? Express your answer with the appropriate units. W = Submit μA Value Provide Feedback Request Answer Units ?arrow_forward
- A certain coal-fired power plant has a rated power capacity of P = 950 MW. The output of this plant is W = 0.25QH, where QH is the energy input as heat from the hot reservoir. a)Calculate the absolute value of the exhausted heat (QC) each second in MJ for the power plant. b)If the power plant operates for a full day at its rated capacity, how much energy QH in MJ is needed? c)If, on average, one ton of coal contains Q = 25 GJ of energy, how many tons nH of coal would the plant need to operate for a day at its rated capacity?arrow_forwardThe air within a piston equipped with a cylinder absorbs 555 J of heat and expands from an initial volume of 0.10 L to a final volume of 0.84 L against an external pressure of 1.0 atm. (a) What is the change in internal energy of the air within the piston?arrow_forwardTwo cylinders A and B of equal capacity are connected to each other via a stopcock. A contains a gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. Answer the following :(a) What is the final pressure of the gas in A and B?(b) What is the change in internal energy of the gas?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning