Was the same piano used to record "Hey Jude" and "Bohemian Rhapsody?"

Freddie Mercury apparently used the same century-old Bechstein Grand Piano for "Bohemian Rhapsody" as Paul McCartney did seven year earlier for "Hey Jude." Both songs were recorded at Trident Studios in London's Soho district. The studio actually rented the piano from Samuel's, a well-known piano store from the mid-60s, and only purchased the instrument fully in 1986.