 Um, let's do this more interesting kind of old rearrangement so, um, hopefully you can tell it's a kind of old rearrangement because already you got the dive The dial so You should be thinking at least thinking that there potentially couldn't be a pinnacle rearrangement also you've got Acid here sulfuric acid so You can imagine it protonating one of these hopefully you can imagine it protonating one of these because strong base or strong acid, right? Good base for strong acid, right? You can imagine the first step would be protonation of the alcohol oxygen That will turn the bad leaving group of the hydroxyl into a good leaving group Protonated hydroxyl group and again, it wouldn't have mattered which ever one you would have protonated because You'll get the same product either way. And of course we also have Ah So the next step of course would be we've got a good leaving group of Stable molecule in and of itself, so it's going to be a good leaving group water so water leaves on its own Forming the tertiary carbocation and And you can so you see the very stable tertiary tertiary carbocation very stable, so What's going to happen is the initiation of the alkyl shift the one-two alkyl shift remember The one-two alkyl shift is preferable to the one-two hydride shift Not to mention that there's no hydrogen there so This is going to These electrons are going to promote that one-two alkyl shift, and then you can just see that On move up like that and attack that electrophile So the intermolecular reaction happens really quickly Rearrangement so we've done that So we've got this still as a Six-membered ring or This has opened up from a sick this one still is a six-membered ring. This one has opened up from a one two three four five six-membered ring to This bond is now there, so it's going to be a seven-membered ring So you've got that We want to count so the proton's still there. We're going to count one two three four five six seven And then attach to seven It's that six-membered ring and remember you got a positive charge here so you're going to continue to have that positive charge there and You can think of the catalyst being regenerated Hydronium I deprotonation of the ketone, so there's your seven-membered And Then that H3O plus that's made we'll go on and perform another one, so it's actually catalytic Once you form that H3O plus it's catalytic in More interesting pinnacle rearrangement Again Here you're going to have that shit because there's no nothing else