Question

What is the average velocity (vrms) of 1.75 kg of air (entire gas, not just one molecule) at room temperature (20 °C)? What is the average kinetic energy of air at 20°C, using the velocity you just calculated. Please solve problem step by step and state each equation used.

Answer #1

At 20 ∘C (approximately room temperature) the average velocity
of N2 molecules in air is 1050 mph.
Part A What is the kinetic energy (in J) of an N2 molecule
moving at this speed? Express your answer using four significant
figures.
Part B What is the total kinetic energy of 1 mol of N2 molecules
moving at this speed? Express your answer using four significant
figures.

Problem 5.91 At 20 ∘C (approximately room temperature) the
average velocity of N2 molecules in air is 1050 mph. Part C What is
the total kinetic energy of 1 mol of N2 molecules moving at this
speed? Express your answer using four significant figures.

Each molecule in a gas has an average kinetic energy. What is
the total average kinetic energy of all the molecules in
5.26 mol of a gas whose temperature is 387K?

1. 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.
A. What is the rms speed of Cl2 molecules at 505 K?
B. What is the rms speed of He atoms at 505 K?
2. Use the van der Waals equation of state to calculate the
pressure of 3.70 mol of H2O at 473 K in...

2. Free Electron Gas
a. Consider a free electron gas of valence 4s-electrons in
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ground state (i.e., the Fermi energy at zero temperature)?
b. Calculate the corresponding electron velocities.
c. Calculate the density of states at the Fermi energy. How
large is the number of electrons in so- called “soft zone” or
“Fermi window” of about 4kBT...

3. A 67 kg trampolinist leaves the trampoline in the vertical
direction with a velocity of 7 m/s. a) What is the athlete’s
maximum kinetic energy? _________________
b) What is the athlete’s maximum potential gravitational energy?
_________________
c) Plot (on the same graph) the athlete’s potential and kinetic
energy versus time for the entire duration that the athlete is in
the air. On the plot, label the following phases on the graph:
take-off, top of jump, and landing. Also label...

A 66.5-kg athlete leaps straight up into the air from a
trampoline with an initial speed of 7.8 m/s. The goal of this
problem is to find the maximum height she attains and her speed at
half maximum height.
a. What are the interacting objects and how do they
interact?
b. Select the height at which the athlete's speed is 7.8 m/s as
y = 0. What is her kinetic energy at this point?
What is the gravitational potential energy...

A 53.0-kg athlete leaps straight up into the air from a
trampoline with an initial speed of 7.5 m/s. The goal of this
problem is to find the maximum height she attains and her speed at
half maximum height.
a. Select the height at which the athlete's speed is 7.5 m/s
as
y = 0. What is her kinetic energy at this point?
What is the gravitational potential energy associated with the
athlete?
b. What is her kinetic energy at...

1. You have two identical containers, one containing gas A and
the other containing gas B. Both gases are under the same pressure
and are at 5.0 ?C. The molecular masses are mA = 3.29 × 10?27 kg
and mB = 6.12 × 10?26 kg.
(a) (1 point) Which gas has greater translational kinetic energy
per molecule?
(b) (1 point) Which gas has greater rms speed?
(c) (1 point) Assuming you can only change one of the
containers, the temperature...

Methane molecules (CH4) moving in air have an average velocity
of 684 m/s. What is the kinetic energy of 1.00 mol of methane
molecules in air?
11.0 J
5.49 x 103 J
5.49 J
3.75 x 106 J
3.75 x 103 J

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