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(a) Calculate the specific heat at constant volume of

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 44E Chapter 18

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 44E

(a) Calculate the specific heat at constant volume of water vapor, assuming the nonlinear triatomic molecule has three translational and three rotational degrees of freedom and that vibrational motion does not contribute. The molar mass of water is 18.0 g/ mol. (b) The actual specific heat of water vapor at low pressures is about 2000 J / kg ? K. Compare this with your calculation and on the actual role of vibrational motion.

Step-by-Step Solution:

Solution 44E Step 1 The thermal energy per degrees of freedom is given by 1 E 1 k 2 B So if there are f degrees of freedom per molecule, then the energy per molecule is given by f E 2 k T B 2 Now if there are N number of molecule in the gas, then the total thermal energy is given by E = Nk T 2 B From the above equation we can write that f E = Nk2T B Now, the number of molecule per mole is given by N = 6.02 × 10 23/mol As stated in the problem, the number of degrees of freedom for the water molecule is f = 3 + 3 = 6 Hence the molar specific heat at constant volume will be for water vapor will be c = E = Nk = (6.02 × 10 )(1.38 × 10 23 J/mol.K) = 24.9 J/mol v T 2 B 2 3 Now the molar mass of water is M = 18.0 g/mol = 18.0 × 10 kg/mol So the specific heat at constant volume of the water vapor is C = cv= 24.93/mol = 1385 J/kg V M 18.0×10 kg/mol

Step 2 of 2

Chapter 18, Problem 44E is Solved
Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

The full step-by-step solution to problem: 44E from chapter: 18 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “(a) Calculate the specific heat at constant volume of water vapor, assuming the nonlinear triatomic molecule has three translational and three rotational degrees of freedom and that vibrational motion does not contribute. The molar mass of water is 18.0 g/ mol. (b) The actual specific heat of water vapor at low pressures is about 2000 J / kg ? K. Compare this with your calculation and on the actual role of vibrational motion.” is broken down into a number of easy to follow steps, and 73 words. Since the solution to 44E from 18 chapter was answered, more than 360 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Water, vibrational, vapor, specific, motion. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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(a) Calculate the specific heat at constant volume of