Question

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 0.215 m , while 19500 J of heat is removed from the gas. If the piston has a radius of 0.305 m , calculate the change in internal energy Δ? of the system.

Δ? =______J

Answer #1

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...

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?

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