Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)
Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)
1st Edition
ISBN: 9781111580704
Author: Kevin D. Dahm, Donald P. Visco
Publisher: Cengage Learning
Question
Chapter 4.8, Problem 23P

(A)

Interpretation Introduction

Interpretation:

Determine the heat is removed from the condenser per kilogram (Q˙/m˙) of entering Freon 22.

Concept Introduction:

The steady state energy equation for the condenser.

ddt{M(U^+V22+gh)}=[m˙in(H^in+Vin22+ghin)m˙out(H^out+Vout22+ghout)+W˙S+WEC+Q˙]

Here, time taken is t, total mass is M, specific internal energy is U^, velocity is V, acceleration due to gravity is g, height is h, initial mass flow rate is m˙in, initial specific enthalpy is H^in, initial velocity is Vin, initial height of the gas is hin, final mass flow rate is m˙out, final height of the gas is hout, rate at which shaft work is added to the system is W˙S, rate at which work is added to the system through expansion or contraction of the system is W˙EC, and rate at which heat is added to the system is Q˙.

(B)

Interpretation Introduction

Interpretation:

Determine the flow rate (m˙) of Freon in the condenser.

Concept Introduction:

Write the flow rate (m˙) of Freon in the condenser.

m˙=Q˙(1Q˙/m˙)

Here, rate of heat addition is Q˙.

(C)

Interpretation Introduction

Interpretation:

Determine the change in entropy of the universe.

Concept Introduction:

Write an entropy balance for the coolant side only.

d(MS^)dt=j=1j=Jm˙j,inS^jk=1k=Km˙k,outS^k+n=1n=NQ˙nTn+S˙gen

Here, time is t, mass of the system is M, specific entropy of the system is S^, mass flow rates of individual streams entering and leaving the system are m˙j,in and m˙k,out respectively, specific entropies of the streams entering and leaving the system is S^j and S^k respectively, the actual rate at which heat is added to or removes from the system at one particular location is Q˙n, temperature of the system at the boundary where the heat transfer labeled n occurs is Tn, and rate at which entropy is generated within the boundaries of the system is S˙gen.

Write the entropy energy for the system.

0=m˙Freon,inS^Freon,in+m˙coolant,inS^coolant,inm˙Freon,outS^Freon,outm˙coolant,outS^coolant,out+S˙gen

Here, initial mass flow rate of Freon in m˙Freon,in, initial specific entropy of Freon is S^Freon,in, initial mass flow rate of coolant is m˙coolant,in, initial specific entropy of coolant is S^coolant,in, final mass flow rate of Freon is m˙Freon,out, final specific entropy of Freon is S^Freon,out, final mass flow rate of coolant is m˙coolant,out, and final specific entropy of coolant is S^coolant,out.

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