Question
In: Physics
A gas of nitrogen molecules is at a temperature of 1000K. In this case molecule has...
A gas of nitrogen molecules is at a temperature of 1000K. In this case molecule has 3 translational, 2 rotational, and 2 vibrational degrees of freedom per molecule, i.e. a total of 7.
1.9. [1pt] Assuming the cycle operates as an engine, calculate the engine efficiency.
ANSWER
1.10. [1pt] If you are to build the most efficient engine using the highest and the lowest temperatures available from #9 how would the cycle look like on a PV-diagram [you need to indicate both cycles]
ANSWER
1.11 [1pt] What is the efficiency of the most efficient cycle in 1.10?
ANSWER
Solutions
genius_generous answered 1 year agoRelated Solutions
1. A sample of nitrogen gas at a pressure of 0.947 atm and a temperature of...
1. A sample of nitrogen gas at a pressure of 0.947 atm and a
temperature of 213 °C, occupies a volume of 687 mL. If the gas is
cooled at constant pressure until its volume is 570 mL, the
temperature of the gas sample will be 2. A helium-filled weather
balloon has a volume of 615 L at 23 °C and 754 mm Hg. It is
released and rises to an altitude of 7.93 km, where the pressure is
323...
At what temperature does the rms speed of a.) A nitrogen molecule equal the escape speed...
At what temperature does the rms speed of
a.) A nitrogen molecule equal the escape speed from the Earth’s
surface and
b.) A hydrogen molecule equal the escape speed from the Earth’s
surface?
c.) You will find that these temperatures are very high, so you
might think that the earth’s gravity could easily contain both
gases. But not all molecules move with vrms. There is a
distribution of speeds, and a small percentage of molecules have
speeds several times vrms....
The ideal gas heat capacity of nitrogen varies with temperature. It is given by: Cp =...
The ideal gas heat capacity of nitrogen varies with temperature.
It is given by: Cp = 29.42-(2.170 *10-3) T +
(0.0582*10-5) T2 + (1.305*10-8)
T3 – (0.823*10-11) T4. T is in K
and Cp is in Joule/(mole K). Assuming that N2 is an ideal gas:
A) How much internal energy (per mole) must be added to nitrogen
to increase its temperature from 450 to 500 K.
B) Repeat part A for an initial temperature of 273 K and final
temperature...
Problem 1. Calculate the average speed of nitrogen molecules (N2) in air at room temperature (∼...
Problem 1. Calculate the average speed of nitrogen
molecules (N2) in air at room temperature (∼ 300 K). Compare to the
speed of sound, which is about 343 m/s at the same temperature.
Speculate on why they might be similar.
Calculate the enthalpy of combustion of methane gas at 1000K and 1atm.
Calculate the enthalpy of combustion of methane gas at 1000K and
1atm.
The average kinetic energy of the molecules in a gas sample depends only on the temperature,...
The average kinetic energy of the molecules in a gas sample
depends only on the temperature, T. But given the same kinetic
energies, a lighter molecule will move faster than a heavier
molecule. Where R=8.314 J/(mol·K) and ℳ is molar mass in kilograms
per mole. Note that a joule is the same as a kg·m2/s2.
What is the rms speed of O2 molecules at 429 K?
What is the rms speed of He atoms at 429 K?
Glycine is an...
The average kinetic energy of the molecules in a gas sample depends only on the temperature,...
The average kinetic energy of the molecules in a gas sample
depends only on the temperature, T. But given the same kinetic
energies, a lighter molecule will move faster than a heavier
molecule. What is the rms speed of Cl2 molecules at 347 K? What is
the rms speed of He atoms at 347 K?
Consider a gas of diatomic molecules at temperature T, each with moment of inertia I. If...
Consider a gas of diatomic molecules at temperature T, each with
moment of inertia I. If Eg is the ground-state energy and Eex is
the energy of an excited state, then the Maxwell-Boltzmann
distribution predicts that the ratio of the number of molecules in
the two states is nex ng = e −(Eex−Eg)/kBT . (1) a) Suppose we
consider the excited state to be the ℓth rotational energy level,
and the ground state to be ℓ = 0. Show that...
1. Consider a gas of molecules in thermal equilibrium with temperature T and a number n...
1. Consider a gas of molecules in thermal equilibrium with
temperature T and a number n per area, confined to a 2-D flat
surface.
-What is the kinetic energy per area of the gas?
-What is the force per length that these molecules exert on an
edge of the surface?
-If there are diatomic molecules, what is the rotational energy
per area of the gas? (Assume that each atom of each molecules is
confined to a flat surface)
Dinitrogen tetraoxide is a colorless gas at room temperature. It can dissociate into nitrogen dioxide, which...
Dinitrogen tetraoxide is a colorless gas at room temperature. It
can dissociate into nitrogen dioxide, which is a reddish brown
gas.
N2O4(g)
<<<------->>>2 NO2(g)
Three experiments were run starting with different initial amounts
of N2O4(g)
([N2O4]0 in the table). The
systems were allowed to reach equilibrium and the concentrations
for each gas were measured (in units of moles/Liter).
For each of the boxes below, calculate the ratios indicated by the
column heading. This will show the mathematical relationship that
exists...
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