Question

A mole of a monatomic ideal gas is taken from an initial pressure p and volume V to a final pressure 3p and volume 3V by two different processes: (I) It expands isothermally until its volume is tripled, and then its pressure is increased at constant volume to the final pressure. (II) It is compressed isothermally until its pressure is tripled, and then its volume is increased at constant pressure to the final volume. Show the path of each process on a p-V diagram. For each process calculate, in terms of p and V, (a) the heat absorbed by the gas in each part of the process, (b) the work done by the gas in each part of the process, (c) the change in internal energy of the gas, Uint, f – Uint, i, and (d) the change in entropy of the gas, Sf – Si. (20%)

Answer #1

2.)1.0 mol sample of an ideal monatomic gas originally at a
pressure of 1 atm undergoes a 3-step process as follows:
(i) It expands
adiabatically from T1 = 588 K to T2 = 389 K
(ii) It is compressed at
constant pressure until its temperature reaches T3 K
(iii) It then returns to its
original pressure and temperature by a constant volume process.
A). Plot these processes on a PV diagram
B). Determine the temperature T3
C)....

at first step
the pressure of a fixed amount of a monatomic gas is increased at
the constant volume from the initial pressure P to the pressure aP
where a is an arbitrary coefficient. at the second step the gas is
isothermally expanded and at the third step the gas is compressed
at a constant pressure and returns back to the initial condition.
What is the efficiency of this heat engine cycle?

The working substance of an engine is 1.00 mol of a monatomic
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heated at constant volume to P2=2.00atm. It then expands at
constant pressure until its volume is 49.2L. The gas is then cooled
at constant volume until its pressure is again 1.00 atm. It is then
compressed at constant pressure to its original state. All the
steps are quasi-static and reversible.
Calculate the TOTAL work done...

The initial state of a 1.00 mol of gass is (P=3.00atm, V=1.00L,
and Eint = 456J), and its final state is (P = 2.00atm, V= 3.00L and
Eint = 912J). the gas is allowed to expand isothermally until it
reaches its volume and its pressure is 1.00atm. It is then heated
at a constant volume until it reaches its final pressure.
(a) illustrate this process on a PV diagram and calculate the
work done by the gas.
(b) find the...

Ten liters of a monoatomic ideal gas at 25o C and 10
atm pressure are expanded to a final pressure of 1 atm. The molar
heat capacity of the gas at constant volume, Cv, is 3/2R and is
independent of temperature. Calculate the work done, the heat
absorbed, and the change in U and H for the gas if the process is
carried out
(1) isothermally and reversibly, and
(2) adiabatically and reversibly.
Having determined the final state of the...

An ideal monatomic gas is contained in a vessel of constant
volume 0.400 m3. The initial temperature and pressure of the gas
are 300 K and 5.00 atm, respectively. The goal of this problem is
to find the temperature and pressure of the gas after 18.0 kJ of
thermal energy is supplied to the gas.
(a) Use the ideal gas law and initial conditions to calculate
the number of moles of gas in the vessel. 80.99 Correct: Your
answer is...

One mole of air is compressed from pressure P1 and temperature
T1 at
constant volume till its pressure is doubled. Then it is
expanded
reversibly and isothermally to the original pressure, and finally
restored
to the original temperature by cooling at constant pressure. Sketch
the
path followed by the gas, on a P-V diagram and calculate the net
work
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Constant amount of ideal gas is kept inside a cylinder by a
piston. Then the gas expands isobarically. Compare the initial (i)
and the final (f) physical quantities of the gas to each other.
The internal energy Uf is ... Ui.
The temperature Tf is ... Ti.
The volume Vf is ... Vi.
The entropy Sf is ... Si.
The pressure pf is ... pi.

Constant amount of ideal gas is kept inside a cylinder by a
piston. Then the gas expands adiabatically. Compare the initial (i)
and the final (f) physical quantities of the gas to each other.
The pressure pf is ... pi.
The temperature Tf is ... Ti.
The internal energy Uf is ... Ui.
The entropy Sf is ... Si.
The volume Vf is ... Vi.

Constant amount of ideal gas is kept inside a cylinder by a
piston. Then the gas expands adiabatically. Compare the initial (i)
and the final (f) physical quantities of the gas to each other.
The pressure pf is ... pi.
The temperature Tf is ... Ti.
The internal energy Uf is ... Ui.
The entropy Sf is ... Si.
The volume Vf is ... Vi.

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