Medium Large Transport
Flight Crew Air Transport Pilot (ATP)
Flight Crew Type 1000
ATC Issue All Types; Deviation - Altitude Undershoot; Inflight Event / Encounter CFTT / CFIT; Inflight Event / Encounter Unstabilized Approach
Human Factors
We setup for the ILS 33 tuning was auto and preview available was called out. Terrain was selected ON. Pilot Flying had not selected preview and realized how high we were for the ILS as we were given vectors to intercept. A cumulating factor was a short pickup of icing condition that triggered a higher power setting and adversely affecting descent rate. We ended up too high for a proper intercept of the ILS at or prior to the FAF. As a result I called a missed approach and go around. We were instructed by ATC to climb to 6000 feet and given a heading. At that point I entered a relatively high workload. At some point we believe we were assigned 5000 feet. We nor ATC realized anything was wrong until we were assigned to 5500 feet as it seemed unusual I questioned ATC. That is when it became clear that something was off. We swiftly climbed to 5500 feet meanwhile ATC issued a low altitude alert. The remainder of the approach was uneventful.After some research on what actually happened with this incident I have found that we were indeed given 5000 feet. Given the low altitude alert we wanted to make sure to have this on file.
[Report narrative contained no additional information.]
Air carrier flight crew reported while they were vectored for another approach after a missed approach at BTV they were issued a low altitude alert by ATC.