A)What is the total random kinetic energy of all the molecules in one mole of xenon at a temperature of 275 K B)With what speed would a mole of xenon have to move so that the kinetic energy of the mass as a whole would be equal to the total random kinetic energy of its molecules?
Answer:
A)
The random kinetic energy (also called the heat energy) for any gas for each of its mole is 1.5 R T.
So in this case, the energy = 1.5 *8.314 * 275 =3429.525 Joules
B)
Find the atomic weight of xenon. It is 131.3 grams/mole
So, the mass of one mole is 0.1313 kg.
We have to find the velocity
By the kinetic energy formula,
0.5 m * v* *v = 3429.525
v*v = 52239.53
v = 228.55 m/s
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