A
quantity of ideal monatomic gas consists of n moles initially at
temperature
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Solution: Click For PDF Version As the change of pressure and volume is linear in the pV diagram and the pressure doubles when the volume doubles, the equation of the straight line relating the pressure-volume is
Also, the
initial temperature of the gas is
(a) The work done on the gas during the slow change described by the linear relation will be
(b)
The final
temperature of the gas
The change in the internal energy of a monatomic ideal gas can be obtained from the initial and final temperatures.
(c) The heat absorbed Q can be calculated from the first law of thermodynamics,
and
(d) We define the equivalent specific heat
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.
The pressure and volume are then slowly
doubled in such a manner as to trace out a straight line on pV
diagram. In terms of n, R, and
,
and (c) Q.
(d) If one were to define an equivalent
specific heat for the process, we have to calculate its value.
can
be obtained from the equation of state.
