Question

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

done by the gas.

Answer #1

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...

1 mole of ideal gas at 270C is expanded isothermally from an
initial pressure of 3 atm to afinal pressure of 1 atm in two ways:
(a) reversibly and (b) against a constant external pressure of 1
atm. Calculate q, w, ΔU, ΔH and ΔS for each path.

Four kilomoles of a monoatomic idel gas are at a temperature of
300 K. The gas expands reversibly and isothermally to twice its
original volume.
1) Sketch the process in the P-V plane.
2) Compute the work done by the gas.
3) Compute the heat supplied to maintain constant temperature.
Note U=U(T).

An ideal gas with γ=1.4 occupies 5.0 L at 300 K and 120 kPa
pressure and is heated at constant volume until its pressure has
doubled. It's then compressed adiabatically until its volume is
one-fourth its original value, then cooled at constant volume to
300 K , and finally allowed to expand isothermally to its original
state.
Find the net work done on the gas. W= ___J

One mole of an ideal gas initially at temperature T0 reversibly
expands from volume V0 to 2V0,
(a) at constant temperature (b) at constant pressure.
Calculate the work, the heat, and change in internal energy of
the gas in each process.

a.) In an Isothermal process the temperature stays thes same as
the volume and pressure are allowed to change. In such a proces the
work is found by W=nRTln (VfVi), with n as the number of moles, R
as the constant 8.31 J/mole*K . How much work is done in an
isothermal process of an ideal gas starting at a pressure of 2.10E2
kPa, and 0.0360 m3 volume as it expands to a volume of 0.165
m3?
b.) If the...

Consider one mole of air with initial temperature of 0 degrees
Celicus and pressure of 1000 mb. The air undergoes a polytropic
process, with its volume expanded 3 times at 250 mb. Calculate:
(a) The power n of the polytropic process;
(b) The final temperature;
(c) The change of internal energy, the work done on, and the
heat absorbed by the system.

In the initial state, an ideal gas has pressure p1, volume V1
and temperature T1. Now the gas changes its state by effecting a
state change so that it reaches the pressure p2, the volume V2 and
the temperature T2 in the new state. The pressure doubles during
this state change, which is an isochore process.
a) Find the work W performed during the isochore process.
b) The heat Q is exchanged between the gas and the surroundings
during the...

One mole of an ideal gas is compressed at a constant temperature
of 55 oC from 16.5 L to 12.8 L using a constant external
pressure of 1.6 atm. Calculate w, q, ΔH and ΔS for this
process.
w = (?) kJ
q = (?) kJ
ΔH = (?) kJ
ΔS = (?) J/(mol*K)

One mole of an ideal gas is expanded isothermally and
irreversibly from an initial volume of 10.0 L to a final volume of
20.0 L at a pressure equal to the final pressure and a temperature
of 500 K. Calculate the value of w. Calculate the values of q.
Calculate the value of ΔS (system). Calculate the values of delta S
(surroundings). Calculate the values of ΔS (total).

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