Question

A gas bottle contains 5.40×1023 Hydrogen molecules at a temperature of 350 K. What is the...

A gas bottle contains 5.40×1023 Hydrogen molecules at a temperature of 350 K. What is the thermal energy of the gas? (You might need to know Boltzmann's constant: kB = 1.38×10-23 J/K.)

Answer: 6.52×103 J

How much energy is stored in ONE degree of freedom for the whole system?

What is the average energy of a single molecule?

Answer: 1.21×10-20 J

On average how much energy is stored by ONE degree of freedom for ONE single molecule?

Homework Answers

Answer #1

a) Thermal energy of the gas (all molecules) is

(Taking into account degrees of freedom for hydrogen molecules as diatomic gas, f = 5)

b) In one degree of freedom, energy stored is 1/5 th of above.

c) For average energy of a single molecule, divide (a) by N, we get

d) For one single molecule in one degree of freedom,

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