Question

1a-Consider a sealed, well-insulated tank filled with 10 moles of gaseous nitrogen, at sufficiently low pressure that it can be treated as an ideal gas. At an initial time, the methane is at a temperature 300 K. A shaft passes into the tank and performs 100 Joules of shaft work per minute. What is the total change in the internal energy of the tank over 10 minutes, in Joules?

b- For the system in problem 1, what is the temperature of the gas, in Kelvin, after one hour? Assume a constant-volume heat capacity of 20 J mol-1 K-1.

Answer #1

A sealed 51 m3 tank is filled with 9000 moles of
ideal oxygen gas (diatomic) at an initial temperature of 270 K. The
gas is heated to a final temperature of 330 K. The atomic mass of
oxygen is 16.0 g/mol. The mass density of the oxygen gas, in SI
units, is closest to
11
4.2
5.6
2.8
7.1

A sealed container holds 0.020 moles of ideal nitrogen (N2) gas,
at a pressure of 1.5 atm and a temperature of 290 K. The atomic
mass of nitrogen is 14.0 g/mol. How many molecules of nitrogen are
in the container? (R = 8.31 J/mol • K, 1 atm = 101 kPa)

An insulated cylinder is filled with nitrogen gas at 25ºC and
1.00 bar. The nitrogen is then compressed adiabatically with a
constant pressure of 5.00 bar until equilibrium is reached. i. What
is the final temperature of the nitrogen if it is treated as an
ideal gas with molar heat capacity CP = 7/2 R ?
ii. Calculate ΔH (in kJ mol-1 ) and ΔS (in J mol-1 K-1 ) for the
compression. (Hint: Because the enthalpy is a state...

A rigid cubic container of side 0.25 m is filled with 10 moles
of the ideal gas Xenon and is then sealed so that no gas can get
out or in. The initial pressure of the gas is recorded as 2.8 x
105 Pa. You may use the following values for this
question:
Gas constant R: 8.31 J/(mol K)
Boltzmann constant kB : 1.38 x 10-23
J/K
Avogadro's number NA: 6.02 x 1023 /mol
A) Determine the total amount of...

A tank contains one kilomole of a monatomic ideal gas, argon,
and has a pressure of 1 atm and a temperature of 300 K. The mass of
an argon atom is 6.63 x 10-26 kg.
a.) Calculate the internal energy, U, of the gas in Joules.
b.) Calculate the average energy per atom in eV. (1eV = 1.602 x
10-19 J)
c.) Calculate the partition function, Z.
d.) Calculate the entropy of the assembly, S

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