I'm doing a mild bathroom remodel and plan to install a wall mount sink since it's a small half bath and that would open the room up. I had originally planned to install a 2x6 between two wall studs to mount the sink too. Unfortunately it turns out the hot water supply line to the entire house comes into this wall, and the drain vent goes right behind it too, so I only have enough clearance to fit a 1x6 in there instead.
Would a 1x6 secured with screws and liquid nails be sturdy enough to support a wall mount sink? The sink itself weighs around 40lbs but I figure at some point someone will lean on it so it's got to be secured pretty well.