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I am working in ArcGIS and I have calculated the slope which shows higher values which is unusual. I came to know about projected coordinates system. I am working on a lake located in Italy.

Which projected coordinate system should I use for Italy?

I obtained elevation data from DEM downloaded from STRM 90 m resolution.

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As commented by @MichaelStimson:

SRTM is in WGS84 Geographic (EPSG:4326), that would give you some very bad slopes as the horizontal distance is in decimal degrees where 1 is a very large distance. Most of Italy is either in UTM zone 33 north (EPSG:32633) or zone 32 north (EPSG:32632).

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