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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a. For a fixed amount of a perfect gas, U and H each depend only on T.
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.
Chemistry
2. Prove that
(C)₁ = C), for an ideal 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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- H =0 for a perfect gas, show that 30 for a perfect gas 2.5. Given thatarrow_forward1.3 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_forwardConsider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. Follow from Ex 4.7 in the textbook, let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What’s the smallest frequency of light that can excite the electron? Briefly explain why. Note that the length of a C-C bond is about 1.54A and the length of a C=C bond is 1.34A to allow you to estimate the length of the “molecular box”arrow_forward
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