Question

You are given an ideal monatomic gas of N = 1.00 × 1023 atoms at temperature T = 300K, and volumeV = 20 L. Find:

(a) The pressure in the gas in Pa.

(b) The work done in Joules when the gas is compressed slowly and isothermally to half its volume.

(c) The change in internal energy of the gas in Joules during process (b).

(d) The heat (in J) absorbed or given up by the gas during process (b).

(e) The change in entropy of the gas (in J/K) during process (b).

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...

An ideal monatomic gas expands isothermally from 0.600 m3 to
1.25 m3 at a constant temperature of 730 K. If the initial pressure
is 1.02 ? 105 Pa find the following.
(a) the work done on the gas
J
(b) the thermal energy transfer Q
J
(c) the change in the internal energy
J

Problem: A sample of monatomic ideal gas
containing 6.02´1023 atoms occupies a volume of
2.24´10-2 m3 at a pressure of
1.01´105 Pa. With the volume held constant, the gas is
cooled until the atoms are moving at a root-mean-square speed of
402 m/s. The mass of each atom is 6.646´10-27 kg.
What is the initial temperature of the gas?
What is the final temperature of the gas?
What is the change in entropy of the gas?

3. An ideal monatomic gas expands isothermally from .500 m3 to
1.25 m3 at a constant temperature of 675 K. If the initial pressure
is 1.00 ∙ 105 Pa, find (a) the work done by the gas, (b) the
thermal energy transfer Q, and (c) the change in the internal
energy.

Under constant pressure, the temperature of 1.70 mol of an ideal
monatomic gas is raised 15.5 K. (a) What is the work W done by the
gas? J (b) What is the energy transferred as heat Q? J (c) What is
the change ΔEint in the internal energy of the gas? J (d) What is
the change ΔK in the average kinetic energy per atom? J

During an adiabatic process, the temperature of 3.92 moles of a
monatomic ideal gas drops from 485 oC to 205
oC. For this gas, find (a) the work
done by the system and (b) the net heat absorbed
by the system.

A cylinder of monatomic ideal gas is sealed in a cylinder by a
piston. Initially, the gas occupies a volume of 3.00 L and the
pressure is initially 105 kPa. The cylinder is placed in an oven
that maintains the temperature at a constant value. 65.0 J of work
is then done on the piston, compressing the gas (in other words,
the gas does −65.0 J of work). The work is done very slowly so that
the gas maintains a...

A closed, cylindrical piston contains an ideal gas initially at
a volume of 1.00L, temperature of 25.0ºC and internal pressure of
1.00 bar. The gas is compressed by applying an external pressure of
1.5bar to a volume of 0.200L.
a. (20 pts) What is the work done in compressing the gas?
b. (15 pts) If the above piston had diathermal walls and the
process occurred isothermally, how much heat would be
exchanged?
Show steps and Ill rate! Thanks for the...

5 moles of a monatomic ideal gas initially at 1 atm and 200 K is
compressed isothermally against a constant external pressure of 2.0
atm, to a final pressure of 2.0 atm. Calculate W; Q; U; and H in
Joules.

4. Three moles of a monatomic ideal gas are initially at a
pressure of 1.00 atm and a temperature of 20.0OC. The gas is
compressed adiabatically to a final pressure of 5.00 atm. Find: (a)
the initial volume of the gas; (b) the final volume of the gas; (c)
the final temperature of the gas; (d) the work done by the gas
during the compression.
Answers: (a) 72.1 L; (b) 27.5 L; (c) 285 OC; (d) -97.8
atm-L
Please show...

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