# What is the change in molar kinetic energy for the dissociation of the diatomic gas #"AB"(g)# into #"A"(g)# and #"B"(g)# in the high temperature limit?

We say that the diatomic gas has certain degrees of freedom (DOFs):

By the equipartition theorem for average kinetic energy, we have:

When the temperature does not change, we can write the change in average kinetic energy as:

Therefore:

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The change in molar kinetic energy for the dissociation of the diatomic gas "AB"(g) into "A"(g) and "B"(g) in the high-temperature limit is approximately 3/2 RT per mole, where R is the gas constant and T is the temperature.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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