An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 4.2, Problem 9P
To determine
To find: Maximum value of Coefficient of Performance of a household air conditioner.
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You would like to heat 10 litres of tap water initially at room temperature
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where A is a constant.
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Chapter 4 Solutions
An Introduction to Thermal Physics
Ch. 4.1 - Prob. 1PCh. 4.1 - At a power plant that produces 1 GW ( 109 watts)...Ch. 4.1 - A power plant produces 1 GW of electricity, at an...Ch. 4.1 - It has been proposed to use the thermal gradient...Ch. 4.1 - Prove directly (by calculating the heat taken in...Ch. 4.1 - To get more than an infinitesimal amount of work...Ch. 4.2 - Why must you put an air conditioner in the window...Ch. 4.2 - Can you cool off your kitchen by leaving the...Ch. 4.2 - Prob. 9PCh. 4.2 - Suppose that heat leaks into your kitchen...
Ch. 4.2 - What is the maximum possible COP for a cyclic...Ch. 4.2 - Explain why an ideal gas taken around a...Ch. 4.2 - Under many conditions, the rate at which heat...Ch. 4.2 - Prob. 14PCh. 4.2 - In an absorption refrigerator the energy driving...Ch. 4.2 - Prob. 16PCh. 4.2 - Prob. 17PCh. 4.3 - Prob. 18PCh. 4.3 - The amount of work done by each stroke of an...Ch. 4.3 - Derive a formula for the efficiency of the Diesel...Ch. 4.3 - The ingenious Stirling engine is a true heat...Ch. 4.3 - A small-scale steam engine might operate between...Ch. 4.3 - Prob. 23PCh. 4.3 - Calculate the efficiency of a Rankine cycle that...Ch. 4.3 - In a real turbine, the entropy of the steam will...Ch. 4.3 - A coal-fired power plant, with parameters similar...Ch. 4.3 - In Table 4.1, why does the entropy of water...Ch. 4.3 - Imagine that your dog has eaten the portion of...Ch. 4.4 - Liquid HFC-134a at its boiling point at 12 bars...Ch. 4.4 - Consider a household refrigerator that uses...Ch. 4.4 - Suppose that the throttling valve in the...Ch. 4.4 - Suppose you are told to design a household air...Ch. 4.4 - Prob. 33PCh. 4.4 - Consider an ideal Hampson-Linde cycle in which no...Ch. 4.4 - The magnetic field created by a dipole has a...Ch. 4.4 - Prob. 36PCh. 4.4 - A common (but imprecise) way of stating the third...
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- Repeat the preceding problem for nitrogen molecules at 295 K.arrow_forwardUnreasonable results. (a) Find the temperature of 0.360 kg of water, modeled as an ideal gas, at a pressure of 1.01105 Pa if it has a volume of 0.615 m3. (b) What is unreasonable about this answer? How could you get a better answer?arrow_forwardConsider the Maxwell-Boltzmann distribution function plotted in Problem 28. For those parameters, determine the rms velocity and the most probable speed, as well as the values of f(v) for each of these values. Compare these values with the graph in Problem 28. 28. Plot the Maxwell-Boltzmann distribution function for a gas composed of nitrogen molecules (N2) at a temperature of 295 K. Identify the points on the curve that have a value of half the maximum value. Estimate these speeds, which represent the range of speeds most of the molecules are likely to have. The mass of a nitrogen molecule is 4.68 1026 kg. Equation 20.18 can be used to find the rms velocity given the temperature, Boltzmanns constant, and the mass of the atom or molecule. The mass of a nitrogen molecule is 4.68 1026 kg. vrms=3kBTm=3(1.381023J/K)4.681026kg=511m/s Using the results of Problem 28 and the rms velocity, we can calculate the value of f(v). f(vrms) = (3.11 108)(511)2 e(5.75106(511)2) = 0.00181 The most probable speed, for which this function has its maximum value, is given by Equation 20.20. vmp=2kBTm=2(1.381023J/K)(295K)4.681026kg=417m/s f(vmp) = (3.11108)(417)2 e(5.75106(417)2) = 0.00199 We plot these points on the speed distribution. The most probable speed is indeed at the peak of the distribution function. Since the function is not symmetric, the rms velocity is somewhat higher than the most probable speed. Figure P20.29ANSarrow_forward
- On a PV-diagram, the work interaction that takes place during a process is greater than zero if O the final volume is larger than the initial volume. the final volume is smaller than the initial volume. the final pressure is larger than the initial pressure. the final pressure is smaller than the initial pressure.arrow_forwardT Use Maxwell relations to express the derivatives ᎧᏙ . capacities, the expansion coefficient a, and the isothermal compressibility KT. You may need to use the chain relation, the reciprocal relation, and the "path" relation and af af af ().-)...). + ду as Р in terms of heatarrow_forwardA thermally isolated container stores N₂ gas at 27.24 °C at one atomospheric pressure. Suddenly the pressure of the gas is increased to two atmospheric pressures. Assuming N₂ to behave as an ideal gas, estimate the change in temperature of the gas, in Celsius degrees (°C).arrow_forward
- mole ideal is expanded isothermally at gas 27 °C. Its volume increases three times of initial volume. Fina the work done and heat absorbed by the R = 8.3 J mol-- K gas. Take, -1arrow_forwardOne-half mole of an ideal gas is taken from state a to state c, as shown in the figure. Calculate the final temperature of the gas. Final answer in m.arrow_forwardA helium-filled toy balloon has a gauge pressure of 0.200 atm and a volume of 10.0 L. How much greater is the internal energy of the helium in the balloon than it would be at zero gauge pressure?arrow_forward
- An ideal gas, initially at a pressure of 11.6 atm and a temperature of 297 K, is allowed to expand adiabatically until its volume doubles. What is the gas's final temperature, in kelvin, if the gas is monatomic? What is the gas' final pressure, in atmospheres, if the gas is diatomic?arrow_forwardAn ideal gas with an initial pressure of 1.5 ×10 Pa and an initial volume of 8 m³ expands isothermally (at constant temperature) to a volume of 7.5 m³ Estimate the final pressure of the gas.arrow_forwardAttached Table gives experimental values of the molar enthalpy of nitrogen at 1 bar and 100 bars. Use this data to answer the following question about a nitrogen throttling process operating between these two pressures. (a) If the initial temperature is 300 K, what is the final temperature?arrow_forward
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