Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 2, Problem 2.60E
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2. Prove that
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The heat capacity ratio of a gas determines the speed of sound in it through the formula cs = (γRT/M)1/2, where γ = Cp,m/CV,m and M is the molar mass of the gas. Deduce an expression for the speed of sound in a perfect gas of (a) diatomic, (b) linear triatomic, (c) nonlinear triatomic molecules at high temperatures (with translation and rotation active). Estimate the speed of sound in air at 25 °C. Hint: Note that Cp,m − CV,m = R for a perfect gas.
Chapter 2 Solutions
Physical Chemistry
Ch. 2 - Calculatethe work performed by a person whoexertsa...Ch. 2 - Explain inyour own words why work done by the...Ch. 2 - Calculate the work in joules when a piston moves...Ch. 2 - Calculatethe work on the system whena piston is...Ch. 2 - Calculatethe work in joules needed to expanda...Ch. 2 - Consider exercise 2.5. Would the workbe more or...Ch. 2 - Apistonhaving0.033 mol ofgas at 35.0Cexpands...Ch. 2 - A bottle of soda has a head space containing 25.0...Ch. 2 - Prob. 2.9ECh. 2 - Calculate the specific heat of a material if 288J...
Ch. 2 - There is 3930 J of energy added to a 79.8-g sample...Ch. 2 - If the heat capacity varies withtemperature,...Ch. 2 - Liquid hydrogen fluoride, liquid water,and liquid...Ch. 2 - A 5-mmdiameter hailstone has a terminal velocity...Ch. 2 - A7.50-gpiece of iron at 100.0C is dropped into...Ch. 2 - With reference to Joules apparatus inFigure2.6,...Ch. 2 - Prob. 2.17ECh. 2 - True or false: Althoughwork done bya free...Ch. 2 - What arethe differencesbetween an open, a closed,...Ch. 2 - The statement Energycan beneithercreatednor...Ch. 2 - Prob. 2.21ECh. 2 - What is the change in internal energy when a gas...Ch. 2 - Calculate the work for the isothermal, reversible...Ch. 2 - Calculate the work donewhen 1.000 mole of an ideal...Ch. 2 - Apistonhaving0.033 mol of gas at 35.0C expands...Ch. 2 - Prob. 2.26ECh. 2 - Indicate which state function is equal to heat, q,...Ch. 2 - The distance between downtown San Francisco and...Ch. 2 - Is temperature astate function?Defend your answer.Ch. 2 - A piston reversibly and adiabatically contracts...Ch. 2 - Calculate U when 1.00 mol of H2 goes from 1.00...Ch. 2 - Many compressed gases come in large,heavy metal...Ch. 2 - Under what conditions will U be exactly zero for a...Ch. 2 - Aballoon filled with 0.505 mole of gascontracts...Ch. 2 - A piston having 7.23 g of steam at 110 C increases...Ch. 2 - It takes 2260 J to vaporize a gram of liquid water...Ch. 2 - True or false: Any process for which H is negative...Ch. 2 - Prob. 2.38ECh. 2 - A refrigerator contains approximately 17cubic...Ch. 2 - In a constant-volume calorimeter, 35.0g of H2cools...Ch. 2 - A 2.50-mol sample of gas is compressed...Ch. 2 - A 244-g amount of coffee in an open plastic cup...Ch. 2 - Prob. 2.43ECh. 2 - Starting with equation 2.27 andthe original...Ch. 2 - Derive the fact that HpT is also zero for an ideal...Ch. 2 - Define isobaric,isochoric, isenthalpic,and...Ch. 2 - Starting from the cyclicrule involvingthe Joule-...Ch. 2 - The ideal gas law is theequation of state for an...Ch. 2 - Prob. 2.49ECh. 2 - Estimatethe final temperature of a mole of gas at...Ch. 2 - With regard to exercise 2.50, how accurate do you...Ch. 2 - Use the data in Table 2.2 to determine Hp T for Ar...Ch. 2 - Use the data in Table 2.2 to determine PH T for N2...Ch. 2 - Someone proposes thatthe Joule-Thomson coefficient...Ch. 2 - Why is equation2.37 written interms of CV and Cp...Ch. 2 - What are the numerical values of the heat...Ch. 2 - In a constant-pressure calorimeter that is, one...Ch. 2 - What is the finaltemperature of0.122 mole...Ch. 2 - Prob. 2.59ECh. 2 - Show that =5/3 for a monatomic ideal gas.Ch. 2 - Prob. 2.61ECh. 2 - Prob. 2.62ECh. 2 - A 1.00 mol sample of H2 is carefully warmed from...Ch. 2 - Asampleof a monatomic ideal gas doubles itsvolume...Ch. 2 - A sample of an ideal diatomic gas is compressed...Ch. 2 - In orbit about Earth, a weather balloonjettisons a...Ch. 2 - Prob. 2.67ECh. 2 - Prob. 2.68ECh. 2 - If pumping up an automobile tire is assumed to be...Ch. 2 - Prob. 2.70ECh. 2 - Take the volume change into account and calculate...Ch. 2 - How much work is performed by 1 mole of water...Ch. 2 - Why are steam burns so much worse than water burns...Ch. 2 - How many grams of water at 0C will be melted by...Ch. 2 - Draw a diagram like Figure 2.11 that illustrates...Ch. 2 - Determine the rxnH(25C) of the following reaction:...Ch. 2 - Determine rxnH 25 C for the following reaction: NO...Ch. 2 - The enthalpy of combustion of...Ch. 2 - The enthalpy of combustion of diamond is -395.4...Ch. 2 - Using Hesss law, writeout allof the formation...Ch. 2 - Sublimation is the phase change from solid to gas...Ch. 2 - The thermite reaction combines aluminum powder and...Ch. 2 - Benzoic acid, C6H5COOH, is a common standard used...Ch. 2 - Assume that 1.20 g of benzoicacid, C6H5COOH, is...Ch. 2 - Natural gas is mostly CH4. When it burns, the...Ch. 2 - Assuming constant heatcapacities for products and...Ch. 2 - Use the heat capacities of the products and...Ch. 2 - The following are values of heat capacity for...Ch. 2 - Prob. 2.89ECh. 2 - Prob. 2.90ECh. 2 - The Dieterici equation of state for one mole of...Ch. 2 - Prob. 2.92ECh. 2 - Find the enthalpies of the combustion reactions...
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- 1.3 The ground level of Cl is 2P3/2 and a 2P1/2 level lies 881 cm-1 there above. Calculate the electronic contribution to the heat capacity of Cl atoms at 500 K.arrow_forwardProve that P1V1ɣ = P2V2 ɣ for adiabatic reversible events in ideal gases.arrow_forward(*), (*): P Use the Euler and reciprocal relations to show that it is equivalent to Cp - Cy = T Ср - Cv = −T. Сү = -Т. Әр ат av 2 T (1) (2) Use this expression to evaluate Cр - Cv for (1) an ideal gas, and (2) for a van der Waals gas.arrow_forward
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