An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 4.1, Problem 1P
(a)
To determine
To Calculate: The efficiency of the given engine when
(b)
To determine
To Calculate: the efficiency of an ideal engine operating between the same temperature extremes.
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1.1
A quantity of ideal monatomic gas consists of n molecules
initially at temperature Ta. The pressure and volume are
then slowly doubled in such a manner as to trace out a
straight line on a p-V diagram.
(a)
In terms of n, R, and Ta, calculate:
The work W
(i)
The internal energy AU
(b)
What would be the value of the molar specific
heat for this process?
An ideal gas initially at P, V, and T, is taken through a cydle as shown below. (Let the factor n - 3.3.)
P
B
P,
V.
(a) Find the net work done on the gas per cycle for 2.45 mol of gas initially at 0°C.
kJ
(b) What is the net energy added by heat to the system per cycle?
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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Similar questions
- Look at the professor's comment and help me to revise it. If the process from c to a was quadratic curve (instead of a diagonal line) with the equation ?(?) = 2?2 − 6? +11,2what would be the total amount of work done in the cycle?b) Warrow_forward1.9. Making use of the fact that the entropy S(N, V, E) of a thermodynamic system is an extensive quantity, show that as as as N (³N) VE + V ( ³5 ) N.F + E (³E) N.V av Note that this result implies that (-Nµ+ PV + E)/T = S, that is, Nμ = E + PV - TS. = S.arrow_forwardNow, let's use this property of logarithms to learn something about the number of microstates available to a molecular system. The absolute entropy of a system is related to the number of microstates available to it via Boltzmann's formula S = kB In W. If a system containing one mole of an ideal gas has an entropy of 167.7 J/K, how many microstates does it have? Report the order of W, as we have defined it above, and you should use scientific notation, 1.23E45, and report 3 (three) significant figures.arrow_forward
- Please help mearrow_forwardAt steady state, a thermodynamic cycle operating between hot and cold reservoirs at 1000 K and 500 K, respectively, receives energy by heat transfer from the hot reservoir at a rate of 1500 kW, discharges energy by heat transfer to the cold reservoir, and develops power at a rate of (a) 1000 kW, (b) 750 kW, (c) 0 kW. For each case, apply Eq. 5.13 on a time- rate basis to determine whether the cycle operates reversibly, operates irreversibly, or is impossible.arrow_forwardA 2 mole sample ideal gas is confined in a cylinder that is carried through a closed cycle. The gas is initially at 63 atm. First, its pressure is tripled under constant volume. Then, it expands isothermally to its original pressure. Finally, the gas is compressed isobarically to its original volume (see the figure) . What was the net work done (in kJ) on the gas for this cycle? (Answer 2 decimal places) 3 P; Isothermal C P V(L) Vcarrow_forward
- Answer in 90 minutes please.arrow_forwardPlease help mearrow_forwardPlease answer the following question(s): 1. (a) What is the best coefficient of performance for a refrigerator that cools an environment at -28° C and has heat transfer to another environment at 47 ° C? COP ref (b) How much work must be done for a heat transfer of 4186 kJ from the cold environment? W = kj (c) What is the cost of doing this if the work costs 10.0 cents per 3.6 × 106 J (a kilowatt-hour)? Cost in cents = ✓ (d) How many kJ of heat transfer, Qh occurs into the warm environment? Qh= kj Think about what type of refrigerator might operate between these temperatures. Hint: Use the appropriate formula for a refrigerator which is different from a heat pump.arrow_forward
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