4) Two moles of O2 gas at 1 atm and 10°C are mixed adiabatically with 4 moles of N2 gas at 1 atm and 80°C to yield a mixture whose pressure is also 1 atm.C, of O2 and N2 may be taken as 7 What is the entropy change for the process? mole-K

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:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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4) Two moles of O2 gas at 1 atm and 10°C are mixed adiabatically with 4 moles of N2
gas at 1 atm and 80°C to yield a mixture whose pressure is also 1 atm.C, of O2 and N2
may be taken as 7 What is the entropy change for the process?
mole-K
Transcribed Image Text:4) Two moles of O2 gas at 1 atm and 10°C are mixed adiabatically with 4 moles of N2 gas at 1 atm and 80°C to yield a mixture whose pressure is also 1 atm.C, of O2 and N2 may be taken as 7 What is the entropy change for the process? mole-K
Entropy
Entropy of mixing for ideal gas
Note:
ASmix = AS1 + AS2
1- gas 1
2- gas 2
+ Entropy (S) is defined as a measure of molecular
randomness or molecular disorder. It is an intensive
property and has a unit of energy per unit
At constant Temperature:
AS = nRln
temperature.
PO
+ n2Rln
P2
ASmix = n1Rln
cal
S
unit:
= eu
T
K
Note:
Entropy change in ideal gas
PO – initial pressure of gas 1
PO – initial pressure of gas 1
T2
nCyln:
V2
+ nRln
V1
General Process:
AS =
T2
+ nRln
T1
P – final pressure of gas 1
P2 - final pressure of gas 2
P1
AS =
nCpln;
P2
V2
AS = nRln
V1
Isothermal Process:
T2
AS = nCyln
T1
T2
nCpln
Constant Volume:
ASmix = n¡Rln
+ n2Rln-
P1
P2
Constant Pressure:
AS =
тіх
4) Adiababtic Process: Q = 0
But: P, = N1Pt and P2 = N¿Pt
AU = Q + W
Q = 0
N, and N2 – mole fraction of the two gases
PO
+ n²Rln
N2Pt
AU = W
PO
ASmix = n1Rln
N Pt
Сycle:
AU = nCyAT
Temperature
constant
Adiabatic
Pressure
Сycle
constant
AH = NC,AT
Δυ
997.68 J
-997.68 J
ΔΗ
1662.8 J
-1662.8 J
Q
-1662.8 J
1494.6594 J
-168.1406J
W
997.68 J
665.12 J
-1494.6594J
168.1406J
Transcribed Image Text:Entropy Entropy of mixing for ideal gas Note: ASmix = AS1 + AS2 1- gas 1 2- gas 2 + Entropy (S) is defined as a measure of molecular randomness or molecular disorder. It is an intensive property and has a unit of energy per unit At constant Temperature: AS = nRln temperature. PO + n2Rln P2 ASmix = n1Rln cal S unit: = eu T K Note: Entropy change in ideal gas PO – initial pressure of gas 1 PO – initial pressure of gas 1 T2 nCyln: V2 + nRln V1 General Process: AS = T2 + nRln T1 P – final pressure of gas 1 P2 - final pressure of gas 2 P1 AS = nCpln; P2 V2 AS = nRln V1 Isothermal Process: T2 AS = nCyln T1 T2 nCpln Constant Volume: ASmix = n¡Rln + n2Rln- P1 P2 Constant Pressure: AS = тіх 4) Adiababtic Process: Q = 0 But: P, = N1Pt and P2 = N¿Pt AU = Q + W Q = 0 N, and N2 – mole fraction of the two gases PO + n²Rln N2Pt AU = W PO ASmix = n1Rln N Pt Сycle: AU = nCyAT Temperature constant Adiabatic Pressure Сycle constant AH = NC,AT Δυ 997.68 J -997.68 J ΔΗ 1662.8 J -1662.8 J Q -1662.8 J 1494.6594 J -168.1406J W 997.68 J 665.12 J -1494.6594J 168.1406J
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