Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN: 9781259696527
Author: J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher: McGraw-Hill Education
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Question
Chapter 3, Problem 3.39P
Interpretation Introduction
Interpretation:
An expression for the change in internal energy for an arbitrary mechanically reversible process needs to be derived
Concept Introduction:
- An equation of state in
thermodynamics is an equation that relates state defining parameters such as pressure (P), volume (V) and temperature (T). - The ideal gas equation is a thermodynamic equation of state given as follows:
- Internal energy of a system is a state function that depends only on temperature and the specific heat capacity at constant volume. The expression is as follows:
PV = nRT -----(1)
n = number of moles of the gas i.e.
R = gas constant = 0.08314 L.bar.K-1.mol-1
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A piston-fitted cylinder with a 5-cm diameter contains 1.65 g of nitrogen. The mass of the piston is 6.50 kg, and a 35.0-kg weight rests
on the piston. The gas temperature is 35.0°C, and the pressure outside the cylinder is 3.50 atm.
d=5
m₁g N₂
m3kg
dcm
m2=6.50
m1 1.65 m3 = 35.0
Calculate the pressure in the cylinder.
i
x 105 Pa
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Volume
What is the volume of the gas in the cylinder?
V = i
L
m2 kg
If the 35.0 kg weight is removed from the piston, how far does the piston move up?
i
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m
Heat Transferred
A
How much heat is transferred to (positive) or from (negative) the gas during the expansion?
J
chemical engineering
The answer for the specific molar volume of nitrogen gas is 12.089x10^(-5) m^3/mol. How was this answer determined? You need to use the ideal gas law to determine the specific molar volume. Do not determine the third specific enthalpy.
Using Raoult's law for water and Henry's law for nitrogen, calculate the pressure and gas-phase composition (mole fractions) in a
system containing a liquid that is 0.500 mole% N2 and 99.50 mole% water in equilibrium with nitrogen gas and water vapor at 70.0 °C.
The Henry's law constant for nitrogen in water is recommended by NIST to be well represented by
KH = 0.000625 exp[1300 (1/T - 1/298.15)] mol N2/(kg H2O bar), where T is measured in Kelvin.
Physical Property Tables
Unit Conversion
Check the unit conversions and examine the definition of H.
Estimate the Henry's law constant H [atm/(mole fraction N2)] for nitrogen in water at T = 70.0 °C.
i
! x 104 atm/(mole fraction N2)
Chapter 3 Solutions
Introduction to Chemical Engineering Thermodynamics
Ch. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - A closed, nonreactive system contains species 1...Ch. 3 - Prob. 3.4PCh. 3 - For the system described in Prob. 3.4: (a) How...Ch. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.11PCh. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - Prob. 3.26PCh. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.30PCh. 3 - Prob. 3.31PCh. 3 - Prob. 3.32PCh. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Prob. 3.40PCh. 3 - Prob. 3.41PCh. 3 - Prob. 3.42PCh. 3 - Prob. 3.43PCh. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.46PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48PCh. 3 - Prob. 3.49PCh. 3 - Prob. 3.50PCh. 3 - Prob. 3.51PCh. 3 - Prob. 3.52PCh. 3 - Prob. 3.53PCh. 3 - Prob. 3.54PCh. 3 - Prob. 3.55PCh. 3 - Prob. 3.56PCh. 3 - Prob. 3.57PCh. 3 - Prob. 3.58PCh. 3 - Prob. 3.59PCh. 3 - Prob. 3.60PCh. 3 - Prob. 3.61PCh. 3 - Prob. 3.62PCh. 3 - Prob. 3.63PCh. 3 - Prob. 3.64PCh. 3 - Prob. 3.65PCh. 3 - Prob. 3.66PCh. 3 - Prob. 3.67PCh. 3 - Prob. 3.68PCh. 3 - Prob. 3.69PCh. 3 - Prob. 3.70PCh. 3 - Prob. 3.71PCh. 3 - Prob. 3.72PCh. 3 - Prob. 3.73PCh. 3 - Prob. 3.74PCh. 3 - Prob. 3.75PCh. 3 - Prob. 3.76PCh. 3 - Prob. 3.77PCh. 3 - Prob. 3.78PCh. 3 - Prob. 3.79PCh. 3 - Prob. 3.80PCh. 3 - Prob. 3.81PCh. 3 - Prob. 3.82PCh. 3 - Prob. 3.83PCh. 3 - Prob. 3.84PCh. 3 - Prob. 3.85PCh. 3 - Prob. 3.86PCh. 3 - Prob. 3.87PCh. 3 - Prob. 3.88PCh. 3 - Prob. 3.89PCh. 3 - Prob. 3.90PCh. 3 - Prob. 3.91PCh. 3 - Prob. 3.92PCh. 3 - Prob. 3.93PCh. 3 - Prob. 3.94PCh. 3 - Prob. 3.95P
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