Question

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?

Answer #1

A heat engine composed of 1.6 moles of an ideal, monotonic gas
is initially at 350 K and 1x10^5 Pa. The first step is an
isothermal expansion to a pressure of 5x10^4 Pa. Second, the gas is
compressed at constant pressure back to the inital volume. Finally
the gas returns, at constant volume to the initial state. What is
the total work done by the gas during this cycle? What is the
efficiency of this cycle?

A three-step cycle is undergone by 3.8 mol of an ideal diatomic
gas: (1) the temperature of the gas is increased from 230 K to 710
K at constant volume; (2) the gas is then isothermally expanded to
its original pressure; (3) the gas is then contracted at constant
pressure back to its original volume. Throughout the cycle, the
molecules rotate but do not oscillate. What is the efficiency of
the cycle?

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...

A cylinder containing 3.0 moles of a monatomic, ideal gas begins
at a pressure of
2.0 × 105 Pa, with a volume of 0.0365 m3. The
gas then goes through the following three processes, which comprise
a thermal cycle:
The gas is expanded isothermally, to twice its original
volume.
The gas is cooled isobarically, back to its original
volume.
The gas is heated isochorically, up to its original
pressure.
(a) Find the initial temperature of the gas, in
Kelvin.
(b)...

A monatomic gas is taken through two steps; first its pressure
is increased from P1 to
2.80P1 at constant volume. Then its volume is
increased from V1 to 1.50V1
at constant pressure.
(a) How much heat is transferred to the gas during this entire
process if V1 = 6.92 ✕ 10−3
m3 and P1 = 1.21 atm?
J
(b) How much heat would be transferred during the entire process,
if the gas was a diatomic one?

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)....

14.3 10.0 L of an ideal diatomic gas at 2.00 atm and 275K are
contained in a cylinder with a piston. The gas first expands
isobarically to 20.0 L (step 1). It then cools at constant volume
back to 275 K (step 2), and finally contracts isothermally back to
10.0 L (step 3). a) Show the series of processes on a pV diagram.
b) Calculate the temperature, pressure, and volume of the system at
the end of each step in...

14.3 10.0 L of an ideal diatomic gas at 2.00 atm and 275K are
contained in a cylinder with a piston. The gas first expands
isobarically to 20.0 L (step 1). It then cools at constant volume
back to 275 K (step 2), and finally contracts isothermally back to
10.0 L (step 3).
a) Show the series of processes on a PV diagram.
b) Calculate the temperature, pressure, and volume of the system
at the end of each step in...

10.0 L of an ideal diatomic gas at 2.00 atm and 275 K are
contained in a cylinder with a piston. The gas first expands
isobarically to 20.0 L (step 1). It then cools at constant volume
back to 275 K (step 2), and finally contracts isothermally back to
10.0 L (step 3).
a) Show the series of processes on a pV diagram.
b) Calculate the temperature, pressure, and volume of the system
at the end of each step in...

Use these steps to answer the questions below:
Step 1: A sample of monoatomic ideal gas, initially at pressure
P1 and volume V1, expands isothermally and
reversibly to a final pressure P2 and volume
V2
Step 2: The ideal gas is compressed isothermally back to its
initial conditions using constant pressure.
Give the equation needed to solve for the following
Wsys (Step 1)
=
qsys (Step 2)
=

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