Question

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 a 5.50-L vessel.

Part 2: Use the ideal gas equation to calculate the pressure under
the same conditions.

Answer #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.
What is the rms speed of F2 molecules at 363 K?
what is the rms speed of He atoms at 363 K?

The average kinetic energy of the molecules in a gas
sample depends only on the temperature, T. However, given the same
kinetic energies, a lighter molecule will move faster than a
heavier molecule, as shown in the equation for rms speed rms
speed=√3RTM 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
kilogram‑meter squared per second squared (kg·m2/s2). What is the
rms speed of Cl2 molecules at 471...

Use the van der Waals equation of state to calculate the
pressure of 3.20 mol of H2O at 467 K in a 3.70 L vessel. Use the
ideal gas equation to calculate the pressure under the same
conditions.

Use the van der Waals equation of state to calculate the
pressure of 4.00 mol of Xe at 483 K in a 4.20-L vessel. Van der
Waals constants can be found here.
Use the ideal gas equation to calculate the pressure under the
same conditions.

Use the van der Waals equation of state to calculate the
pressure of 2.90 mol of CH4 at 457 K in a 4.50 L vessel. Van der
Waals constants can be found here.
P= ________ atm
Use the ideal gas equation to calculate the pressure under the
same conditions.
P= ______ atm

Your research director informs you that the molecules of a
sample of gas at 397 K397 K have a root‑mean‑square (rms) speed of
297 m/s297 m/s and asks you to calculate the most probable speed
and the average speed. Also, while you're at it and before lunch,
you should calculate the mass of a molecule.
most probable speed:
m/s
average speed:
m/s
molecular mass:
kg

Calculate the temperature ? of a sample of gas when the average
translational kinetic energy of a molecule in the sample is
8.15×10−21 J.
?= ________K
What is the total translational kinetic energy ?trans of all the
molecules of this sample when it contains 2.15 moles of gas?
?trans= ________J
A cylinder which is in a horizontal position contains an unknown
noble gas at 54700 Pa and is sealed with a massless piston. The
piston is slowly, isobarically moved inward...

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...

Heat is the
Total internal energy of an object
Average kinetic energy of molecules
Measure of potential energy of molecules
Same thing as very high temperature
The specific heat of copper is 0.093 cal/g⁰C, and the specific
heat of aluminum is 0.22 cal/g⁰C. The same amount of
energy applied to equal masses, say, 50 g of copper and aluminum,
will result in
A higher temperature for copper
A higher temperature for aluminum
The same temperature for each metal
Unknown results
The...

1. In meteorology, pressures are expressed in units of millibars
(mbar). Convert 1085 mbar to torr, Pascals, and to atmospheres. 2.
Research in surface science is carried out using high vacuum (<
10-8 torr) or ultrahigh vacuum (<10-9 torr) chambers to reduce
the surface contamination. How many molecules are there in a 1.00
cm3 volume inside such an apparatus at 298 K with pressure of 10-11
torr? What is the corresponding molar volume at this pressure and
temperature? 3. Use...

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