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Solution
ID: past-exam-of-the-short-options-paper-shared-by-prelims-and-parts-a-and-b-of-the-physics-course-of-the-university-of-oxford/2012/s4/2/1/solution
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Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford
/
2012
/
S4
/
2
/
1
/
Solution
by
Codex
0
2026-10-25
An
ideal
Rankine cycle
has four main steps:
liquid water
is pumped reversibly to
high pressure
;
heat
is added at
high pressure
to produce hot vapour or supercritical
working fluid
; the
fluid
expands approximately isentropically through
a
turbine
to produce
work
; and low-
pressure
heat
rejection in
a
condenser returns it to
liquid
. For
steady flow
, the main
work
and
heat transfers
are
differences
of
specific enthalpy
.
A
steam implementation of the
Carnot cycle
would require compression of
a
wet
liquid
-vapour
mixture
and reversible isothermal
heat transfer
, both difficult to achieve with practical
machinery
. Complete
condensation
before the Rankine
pump
makes compression
work
small because
liquid
specific volume
is small.
High-pressure
heating and
superheating
can then occur in
a
boiler without demanding isothermal
addition
of all the
heat
.
Superheating
also reduces
turbine
-exit moisture, although the calculated exit may still be wet. The
pump
,
turbine
, condenser and boiler can operate continuously
as
separate
flow
devices. The
Rankine cycle
sacrifices some
ideal
thermal efficiency
in return for
a
practicable steam-
plant
configuration; no real
engine
can exceed the
Carnot efficiency
for the same extreme reservoir
temperatures
.
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