Is this not essentially the same question which you asked in the "Chemical Engineering Other Topics" forum, which thread now has 18 responses.
Nitrogen gas is a dangerous asphyxiant and filling a room with nitrogen is very unsafe. Would you tell us why you are asking your question?
In any event, as mentioned in the previous response:
(1) if the nitrogen gas is initially below its Joule-Thomson inversion temperature (348 deg C at atmospheric pressure and somewhat different at 3 bar of pressure) and
(2) the gas enters through a throttling valve that does not allow much heat transfer and does no mechanical work
then you have a constant enthalpy expansion (called a Joule-Thomson expansion) and the gas will be cooled.
Looking up the Joule-Thomson coefficient at the pressure and temperature of your nitrogen gas (and you haven't told us the gas temperature), and then calculating the temperature change is a tedious job. Ask a consulting chemical engineer to do it for you.
Milton Beychok
(Visit me at www.air-dispersion.com)
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