New Empire Real Estate Development has filed applications for a seven-story, seven-unit residential building at 424 West 52nd Street, located in Hell’s Kitchen. The project will measure 11,804 square feet and its full-floor residential units should average 1,505 square feet apiece. The apartments will be condominiums, DNAinfo reported. Brooklyn-based Building Consulting Engineering & Architecture is the architect of record. The 25-foot-wide, 2,511-square-foot lot is currently vacant.