Question

4. In a gaseous sample containing 4 mol of ClF at T K and 1 bar,...

4. In a gaseous sample containing 4 mol of ClF at T K and 1 bar, how many moles of molecules are in the first excited vibrational state? Treat the gas as non-interacting with Θvib = 1132 K.

Homework Answers

Answer #1

Relative population of two different energy states is given by Boltzman population distribution :

since,

suppose the system is at temperature equals to 300 K, then

= 0.023

i.e.  relative population between first excited state and ground state is 0.023.

assuming that initially all the molecules were in the ground state, then 2.3 % of the molecules will be in first excited state.

i.e. 0.023 * 4

= 0.09 mol of ClF

= 0.09 moles of ClF is in first excited state.

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