Question

Suppose 660 J of heat flows into a diatomic ideal gas that is held at constant...

Suppose 660 J of heat flows into a diatomic ideal gas that is held at constant volume.

1. How many joules of this energy goes into the translational kinetic energy of the gas?

2. How many joules of the heat energy goes into the rotational kinetic energy of the gas?

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Answer #1

for diatomic ideal gas

number of freedoms = 5

number of degree of freedom of translational kinetic energy = 3

number of degree of freedom of rotational kinetic energy = 2

1.
translational kinetic energy of the gas = 660 * 3/(2 + 3)

translational kinetic energy of the gas = 396 J

the translational kinetic energy of the gas is 396 J

2. rotational kinetic energy of the gas = 660 - 396

rotational kinetic energy of the gas = 264 J

the rotational kinetic energy of the gas is 264 J

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