What kind of temps should these LSD be running at?

Just did the E30 rear end swap into my 95' E36 318ti and I'm wondering how warm a LSD diff should get? After 30 minutes of spirited driving I shot the cast iron part of the housing with the I/R gun and the temps are about 230 degrees. The air temp was also only about 60 degrees so I'm worried on a 90 degree day its gonna get to warm. Unfortunately I didn't check the old open rear end before I removed it so I don't what that use to run. Using Redline synthetic oil in both. What kind of temps should these be running at?

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[Kerry at Pelican Parts]

I can't give you specific temps since there are too many variables. You need a limited slip friction modifier additive for LSD and there is a chance that the clutches are slightly worn and allowing the unit to get hot from the slipping.

- Kerry