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Reg. No. :
B.E./B.Tech. DEGREE EXAMINATION, NOVEMBER/DECEMBER 2010
Fifth Semester
Chemical Engineering
CH 2303 — CHEMICAL ENGINEERING THERMODYNAMICS — I
(Regulation 2008)
Time : Three hours Maximum : 100 Marks
Answer ALL questions
PART A — (10 × 2 = 20 Marks)
1. Distinguish between steady state and equilibrium state of a process.
2. Distinguish between state function and path function with examples.
3. What has led to the inclusion of the concept of internal energy in the
formulation of first law of thermodynamics?
4.
What are the major limitations of the first law of thermodynamics?
5. State Clausius inequality.
6. How is the entropy and probability interrelated?
7.
How is Joule-Thomson coefficient evaluated from P-V-T information?8. What is the criterion of equilibrium in terms of work function and internal
energy?
9.
How does the clearance affect the work of adiabatic compression?
10. What are the limiting conditions to be satisfied by any equation of state in
general?
PART B — (5 × 16 = 80 Marks)
11.
(a) (i) During the suction stroke in a diesel engine, atmospheric air at
300K and 0.1 MPa is drawn into the engine cylinder and then it is
compressed reversibly and adiabatically till the volume of the air
reduces to 1/15th of the original volume. At the end of the
compression stroke, the temperature of the air is such that when
fuel is injected, it ignites immediately. Calculate the temperature
and pressure of the air at the end of the compression stroke. Also,
calculate the work done per mole of air. Assume 4.1=γ for air. (8)
(ii) Derive the first law of thermodynamics for a steady state flow
process. (8)
Or
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(b) (i) A system is taken through a series of processes as a result of which
the system is finally restored to its initial state. The work and heat
interactions for some processes are measured and they are given
below :
Process W (kJ) Q (kJ) U ∆ (kJ)
1–2 100 200 –
2–3 – –150 200
3–4 –250 – –
4–1 300 – 50
Calculate the Unknown quantities in the above table and determine
the network done and net heat interactions. (10)
(ii) Define the following terminologies of thermodynamics.
(1) Reversible and irreversible processes
(2) State function and state variables
(3) Thermodynamic equilibrium. (3 × 2 = 6)
12. (a) (i) Atmospheric air is a mixture of nitrogen and oxygen in the mole
ratio 79 : 21. Calculate the minimum work to be done to separate
1 kmol air at 0.1 MPa and 300K into pure nitrogen and oxygen at
the same temperature and pressure. Treat air as an ideal gas. (8)
(ii) Prove the equivalence of the Kelvin-Planck and Clausius
statements of the second law of thermodynamics (8)
Or
(b) (i) A domestic refrigerator transfers energy in the form of heat from
the cold space to the ambient atmosphere at higher temperature.Does it violate the Clausius statement of the second law of
thermodynamics? Explain in detail. (8)
(ii) An inventor claims to have developed a cyclically working device
which absorbs 500 kJ as heat from a reservoir at 800K and 300 kJ
from a reservoir at 400K and rejects 100 kJ as heat to a reservoir at
600K and 50kJ to a reservoir at 300K while it delivers 650kJ work.
Would you agree with his claim? Justify your answer on
thermodynamic grounds. (8)
13. (a) The equation of state of a certain substance is given by the expression
3T
C
P
RT V −= and the specific heat is given by the relation BT AC
p +=
where A, B and C are constants. Drive expressions for change in internal
energy, enthalpy and entropy for (i) an isothermal process (ii) an isobaric
process. (16)
Or
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(b) Show that
(i)
s
p P
P
T
T
V
T C
∂
∂
∂
∂
=
(ii)
( )
dP
C C
V dT C dH
v p
p
−−+=
β
κ
(iii) T V
U P
T
P T
v
∂
∂=−
∂
∂
(iv)
∂
∂+
∂
∂−=
∂
∂
T P T P
V P
T
V T
P
U . (16)
14. (a) Calculate the compressibility factor and molar volume for methanol
vapor at 500K and 10 bar by using the following equations. Experimental
values of virial coefficients are /molm1019.2 34−×−= B ; 81073.1 −×−=C 26
/molm . The critical temperature and pressure of methanol are 5 12.6Kand 81 bar.
(i) Truncated form of virial equation
(ii) Redlich-Kwong equation. (16)
Or
(b) Explain the PVT behaviour of fluids in detail. (16)
15. (a) Air at 600K and 2000 kPa enters a convergent-divergent nozzle whose
throat area is one half that of the discharge of the divergent section.
Assuming 4.1=γ for air, determine the following.
(i) The pressure, temperature, velocity and density at the throat whenthe Mach number is 0.8 at the throat
(ii) The critical pressure corresponding to the reservoir condition. (16)
Or
(b) Write a detailed note on the following
(i) Working of ejectors
(ii) Multi-stage compression. (2 × 8 = 16)
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