An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Question
Chapter 3.4, Problem 33P
To determine
To Derive:The heat capacity formula at constant volume and pressure.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A bottle of volume V = 0.15 m³ contains helium gas (a monatomic gas) at a pressure p = 722,266 Pa (Pascal = N/m² and temperature T = 300 K.
Calculate a numerical value for the internal energy U of this gas.
Include units in your answer, using Sl units (m for meters, kg for kilograms, s for seconds, J for joules, K for kelvin, etc.).
Write your answer as an exponential as described in the instructions.
1.7 Ideal gas response functions
Find the thermal expansion coefficient and the isothermal
compressibility for an ideal gas and show that in this case Cp - Cy =
- a² can be reduced to Cp – Cy = Nkg for the molar specific heats.
TV
Кт
Write the mathematical relationships for
each of the following
Conclude the thermodynamic properties
(parameters) of ideal gas same as
( energy , prussure, entropy , specific heat
at fixed prussure , specific heat at fixed
volume )
e 12:31 V
Chapter 3 Solutions
An Introduction to Thermal Physics
Ch. 3.1 - Use Table 3.1 to compute the temperature of solid...Ch. 3.1 - Use the definition of temperature to prove the...Ch. 3.1 - Figure 3.3 shows graphs of entropy vs. energy for...Ch. 3.1 - Can a miserly system, with a concave-up...Ch. 3.1 - Prob. 5PCh. 3.1 - Prob. 6PCh. 3.1 - Prob. 7PCh. 3.2 - Prob. 8PCh. 3.2 - In solid carbon monoxide, each CO molecule has two...Ch. 3.2 - An ice cube (mass 30 g) at 0C is left sitting on...
Ch. 3.2 - In order to take a nice warm bath, you mix 50...Ch. 3.2 - Estimate the change in the entropy of the universe...Ch. 3.2 - When the sun is high in the sky, it delivers...Ch. 3.2 - Experimental measurements of the heat capacity of...Ch. 3.2 - Prob. 15PCh. 3.2 - A bit of computer memory is some physical object...Ch. 3.3 - Prob. 17PCh. 3.3 - Prob. 18PCh. 3.3 - Prob. 19PCh. 3.3 - Prob. 20PCh. 3.3 - Prob. 21PCh. 3.3 - Prob. 22PCh. 3.3 - Prob. 23PCh. 3.3 - Prob. 24PCh. 3.3 - Prob. 25PCh. 3.3 - Prob. 26PCh. 3.4 - What partial-derivative relation can you derive...Ch. 3.4 - A liter of air, initially at room temperature and...Ch. 3.4 - Sketch a qualitatively accurate graph of the...Ch. 3.4 - As shown in Figure 1.14, the heat capacity of...Ch. 3.4 - Experimental measurements of heat capacities are...Ch. 3.4 - A cylinder contains one liter of air at room...Ch. 3.4 - Prob. 33PCh. 3.4 - Polymers, like rubber, are made of very long...Ch. 3.5 - Prob. 35PCh. 3.5 - Prob. 36PCh. 3.5 - Prob. 37PCh. 3.5 - Suppose you have a mixture of gases (such as air,...Ch. 3.6 - Prob. 39P
Knowledge Booster
Similar questions
- One mole of an ideal gas is heated slowly so that it goes from the PV state (Pi, Vi) to (6Pi, 6Vi) in such a way that the pressure is directly proportional to the volume. (a) How much work is done on the gas in the process? (Use any variable or symbol stated above along with the following as necessary: n and R.)W =(b) How is the temperature of the gas related to its volume during this process? (Do not substitute numerical values; use variables only. Use the following as necessary: n, R, V, Vi, and Pi.)T =arrow_forwardAssume heat capacity is independent of temperature, however, in general it can be dependent upon the temperature. The temperature dependence of the constant pressure heat capacity can often be modeled as: Cp,m(T) = a + bT + where a, b andc are constants. Explain how you would have to change your calculation of the heat transferred to account for this temperature dependence. You do not actually need to solve anything for this problem. Also, recall (ƏH G, = (),arrow_forwardFind the temperature u(x,t) from the heat equation in a laterally insulated copper bar 80 cm long with c**2=1.158 cm**2/sec. If the initial temperature is represented by the below graph and the ends are kept at 0C.arrow_forward
- A monatomic ideal gas undergoes an isothermal expansion at 300 K, as the volume increased from 0.020 to [2*v1] m³.The final pressure is 119.41kPa. The ideal gas constant is R = 8.314 J/mol · K. What is the heat transfer Q to the gas in kilojoules? Please enter your numerical answer with two decimal places. (for example for 2090 J, enter 2.09 )arrow_forwardTo design a particular kind of refrigerator, we need to know the temperature reduction brought about by adiabatic expansion of the refrigerant gas. For one type of freon, μ = 1.2 K atm-1.What pressure difference is need to provide a temperature drop of 5.0 K? Recall that (∂T/∂p )H= μ and, instead of integrating, just assume that this equation remains true when the infinitesimally small changes (∂x) are replace by finite changes (Δx).arrow_forwardA 2 mol sample of air (a diatomic ideal gas) at 833 K, confined in a cylinder under a heavy piston, occupies a volume of 6 L. Determine the final volume (in L) of the gas after 622 kJ of energy is transferred to the air by heat. (Answer in 2 decimal places)arrow_forward
- Problem 1: Solve the one-dimensional heat equation ut = Upx for the completely insu- lated metal wire of unit length with the initial temperature given by u(x,0) = 6 sin?(7x) cos (Tx). (Tx) cos² (Tx). Find the equilibrium temperature inside the wire åfter long time.arrow_forwardGive the temperature T of 1 mole of ideal gas as a function of the pressure P, volume V, and the gas constant R and give the internal energy U of a rigid diatomic ideal gas as a function of its temperature T and the gas constant R.arrow_forwardA 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.08 atm and a volume of 11.0 L to a final volume of 29.0 L. (a) What is the final pressure of the gas? atm(b) What are the initial and final temperatures? (Enter your answers to at least the nearest whole number.) initial K final K (c) Find Q for the gas during this process. kJ(d) Find ΔEint for the gas during this process. kJ(e) Find W for the gas during this process. kJarrow_forward
- A heat engine rejects heat at a rate Q˙C = 30 kW into a reservoir at TC = 400 K . If it produces a net work of W˙ext = 35 kW , what is the minimum required temperature for the high temperature reservoir? Express your answer with the appropriate units to three significant figures.arrow_forward1.50 moles of a monatomic ideal gas goes isothermally from state 1 to state 2. P1 = 2.8×105 Pa, V1 = 88 m3, and P2 = 6.6×105 Pa. What is the volume in state 2, in m3? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.arrow_forwardConsider the adiabatic expansion of 0.05 moles of helium, a monatomic gas, from initial volume and temperature Vi = 0.1 m3, T; = 273.15 K, to V;= 2 m°. Use Equation 3.20 to calculate the work done. Confirm that this work value is the same as that obtained using Equation 3.25 Give your answer in units of joules (J).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
