If I have a Jacuzzi full of water with $37^{\circ}\text{C}$that is currently *not* heated within a room full of air with $20^{\circ}\text{C}$, how long will it take for the water (and room) to reach some stable temperature? What temperature will this be for the water (and room)? I assume that there are no other sources of heat/coldness and that the room has no windows or doors (yikes).

If the volume is important, let the Jacuzzi have $500~\text{L}$ of water and the room $50000~\text{L}$ of air