Aptitude Test Problems in Physics Science for Everyone by S Krotov ( PDFDrive.com )

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Solutions (^221)
Thus, the change in the potential energy of the
compressed spring as a result of heating of the
system is
R
6 W2---- — 2 (I^ T1)•
The total change in the internal energy of the
system as a result of heating from T 1 to 2 12 is
W = A WI + A14 72 = 2R (T^2 —
and the heat capacity of the system is
AQ AU
C = 7 , 1 - 2R.
2.14. Let us analyze the operation of the heat
engine based on the cycle formed by two isotherms
and two isochors (Fig. 200). Suppose that the tem-
V
Fig. 200
perature of the cooler (corresponding to the lower
isotherm) is T 1 , and the temperature of the heater
(corresponding to the upper isotherm) is T 2. On
the isochoric segment 1 - 2, the gas volume does not
change, i.e. no work is done, but the temperature
increases from T 1 to T (^2). It means that a certain
amount of heat Q 1 is supplied to the gas. On the
isothermal segment 2 - 3, the internal energy of

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