Thermodynamics, Statistical Thermodynamics, & Kinetics
Thermodynamics, Statistical Thermodynamics, & Kinetics
3rd Edition
ISBN: 9780321766182
Author: Thomas Engel, Philip Reid
Publisher: Prentice Hall
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Chapter 1, Problem 1.20NP

(a)

Interpretation Introduction

Interpretation:The total pressure at 8.5 km needs to be determined if mean molecular mass is 28.9 g/mol and temperature is 300 K. Also, at sea level the mole fraction of nitrogen and helium gas is  0.78084 and  0.00000524 respectively.

Concept Introduction:The partial pressure of the component of air above the sea level in the atmosphere of the earth can be calculated as follows:

  Pi=PioeMigz/RT

Here, Pi is partial pressure at z height, Pio is partial pressure of component i at the sea level, g is acceleration due to gravity, R is Universal gas constant, M is molar mass of the gas and T is temperature.

(b)

Interpretation Introduction

Interpretation:The value of ratio of mole fraction of nitrogen and helium gas at 8.5 km needs to be determined in the absence of the turbulent mixing.

Concept Introduction: The partial pressure of the component of air above the sea level in the atmosphere of the earth can be calculated as follows:

  Pi=PioeMigz/RT

Here, Pi is partial pressure at z height, Pio is partial pressure of component i at the sea level, g is acceleration due to gravity, R is Universal gas constant, M is molar mass of the gas and T is temperature.

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Consider Argon (Ar) gas at a pressure of 1 bar and temperature of 300 K. The equivalent hardsphere radius (known as the Van Der Waal radius) of an Argon molecule is 188 picometers (pm)and its atomic mass is 39.948u. Note that 1u = 1.6605 x 10-27kg. a)How many molecules are contained in a cube 1 cm by 1 cm by 1 cm? b)Estimate the mean free path. At scales much larger than this, a continuum description holds. c)What is the density of the gas? d)Estimate the "root mean squared" molecular speed, i.e. SQRT( (V^2) ) e)Estimate the dynamic and kinematic viscosities. Compare these with literature values, forexample from webbook.nist.edu. f) Plot the variation of dynamic viscosity with temperature in the range between 300K and3000K at a fixed pressure of 1 bar. Use Matlab, Python, Mathematica, or any other softwareyou may choose.
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Chapter 1 Solutions

Thermodynamics, Statistical Thermodynamics, & Kinetics

Ch. 1 - Prob. 1.11CPCh. 1 - Prob. 1.12CPCh. 1 - Prob. 1.13CPCh. 1 - The mass of a He atom is less than that of an Ar...Ch. 1 - Prob. 1.15CPCh. 1 - Prob. 1.1NPCh. 1 - A compressed cylinder of gas contains 2.74103g of...Ch. 1 - Calculate the pressure exerted by Ar for a molar...Ch. 1 - A sample of propane C3H8 is placed in a closed...Ch. 1 - A gas sample is known to be a mixture of ethane...Ch. 1 - One liter of fully oxygenated blood can carry 0.18...Ch. 1 - Yeast and other organisms can convert glucose...Ch. 1 - A vessel contains 1.15 g liq H2O in equilibrium...Ch. 1 - Consider a 31.0 L sample of moist air at 60.C and...Ch. 1 - Prob. 1.10NPCh. 1 - Prob. 1.11NPCh. 1 - A rigid vessel of volume 0.400m3 containing H2 at...Ch. 1 - A mixture of oxygen and hydrogen is analyzed by...Ch. 1 - An athlete at high performance inhales 3.75L of...Ch. 1 - Devise a temperature scale, abbreviated G, for...Ch. 1 - Aerobic cells metabolize glucose in the...Ch. 1 - Prob. 1.17NPCh. 1 - A mixture of 2.10103g of O2, 3.88103mol of N2, and...Ch. 1 - Prob. 1.19NPCh. 1 - Prob. 1.20NPCh. 1 - An initial step in the biosynthesis of glucose...Ch. 1 - Prob. 1.22NPCh. 1 - Assume that air has a mean molar mass of 28.9gmol1...Ch. 1 - When Julius Caesar expired, his last exhalation...Ch. 1 - Calculate the number of molecules per m3 in an...Ch. 1 - Prob. 1.26NPCh. 1 - A mixture of H2 and NH3 has a volume of 139.0cm3...Ch. 1 - A sealed flask with a capacity of 1.22dm3 contains...Ch. 1 - A balloon filled with 11.50 L of Ar at 18.7C and 1...Ch. 1 - Carbon monoxide competes with oxygen for binding...Ch. 1 - The total pressure of a mixture of oxygen and...Ch. 1 - Suppose that you measured the product PV of 1 mol...Ch. 1 - Liquid N2 has a density of 875.4kgm3 at its normal...Ch. 1 - Calculate the volume of all gases evolved by the...Ch. 1 - Prob. 1.35NPCh. 1 - A glass bulb of volume 0.198 L contains 0.457 g of...Ch. 1 - Prob. 1.37NPCh. 1 - Prob. 1.38NPCh. 1 - Many processes such as the fabrication of...Ch. 1 - Rewrite the van der Waals equation using the molar...
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