Question

**Problem:** A sample of monatomic ideal gas
containing 6.02´10^{23} atoms occupies a volume of
2.24´10^{-2} m^{3} at a pressure of
1.01´10^{5} 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?

Answer #1

A monatomic ideal gas in a container of fixed volume contains
4.10 × 10^24 atoms.
a) If you add enough thermal energy to double the
root-mean-square speed of the gas atoms, by how much have you
changed the entropy of the gas?

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)....

An ideal gas at 10.0 °C and a pressure of 2.75 x 105
Pa occupies a volume of 3.49 m3. (a)
How many moles of gas are present? (b) If the
volume is raised to 5.63 m3 and the temperature raised
to 29.2 °C, what will be the pressure of the gas?

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)...

1. a) Suppose 2 moles of a monatomic ideal gas
occupies 5 m3 at a pressure of 1600 Pa.
First: Find the temperature of the gas in Kelvin.
Answer: 481 K
Second: Find the total internal energy of the gas.
Answer:12000 J
1. b) Suppose the gas undergoes an isobaric
expansion to a volume of 7 m3.
(Don’t forget to include + and – in each of the
problems below)
First: Find Q
Answer: 8000 J
Second: Find W
Answer:...

A cylinder containing an ideal gas has a volume of 2.6 m3 and a
pressure of 1.5× 105 Pa at a temperature of 300 K. The cylinder is
placed against a metal block that is maintained at 900 K and the
gas expands as the pressure remains constant until the temperature
of the gas reaches 900 K. The change in internal energy of the gas
is +6.0× 105 J. How much heat did the gas absorb?
a. 1.4E+6 J
b....

Rectangular PV Cycle
A piston contains 260 moles of an ideal monatomic gas that
initally has a pressure of 2.61 × 105 Pa and a volume of
4.9 m3. The piston is connected to a hot and cold
reservoir and the gas goes through the following quasi-static cycle
accepting energy from the hot reservoir and exhausting energy into
the cold reservoir.
1. The pressure of the gas is increased to 5.61 × 105
Pa while maintaining a constant volume.
2....

Problem: A sample of hydrogen gas (diatomic)
has 3.6´1023 particles and is kept at a pressure of
2.00´105 Pa. During a quasistatic process, its initial
volume is reduced from 2.00´10-2 m3 to
6.00´10-3 m3.
How much work was done on the gas during the compression?
How much energy was transferred thermally to or from the gas
during the process?
What was the entropy change per particle of the gas during the
process?

Three moles of a monatomic ideal gas are heated at a constant
volume of 2.90 m3. The amount of heat added is 5.10 103 J.
(a) What is the change in the temperature of the gas?
_____K
(b) Find the change in its internal energy.
_____J
(c) Determine the change in pressure.
_____Pa

An ideal monatomic gas is contained in a vessel of constant
volume 0.330 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 24.0 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. Your response differs
from the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 15 minutes ago

asked 57 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago