Jesse uses hydrofluoric acid to get rid of the corpse. This is extremely toxic and can only be used in a controlled environment with extreme safety measures. The gloves and masks he puts on are nowhere near enough, let alone them standing near it once the bathtub gives way. They would have suffered extreme lung and eye damage from just standing there.
When Jesse bungles Walter White's instructions on how to dissolve a drug dealer's corpse in a bathtub, the entire body is dissolved and the acid eats through the tub. The team from MythBusters (2003) tested the science of this scene and found that, while the chemicals and applications used in the episode did cause some dissolving (they used a pig carcass in the test), it would not be able to dissolve an entire human body nor destroy the bathtub and floorboards. This is mostly due to the fact that the acid is neutralized when it reaches the bones and reacts with the calcium.
At 43:18 -Jesse is smoking about 20 times the amount of meth required for a high.
The labels on the large bottles of acid grabbed by Walt from the chemistry lab misspell "hydrofluoric" as "hydroflouric".
Walt refers to hydrofluoric acid as a "strong acid" when in reality it is a weak acid.
When Jesse throws Emilio's body into the tub to dissolve it with the acid, we get a close up of Emilio's face from the bottom of the tub. Though Emilio is supposed to have been deceased for days, you can clearly see his rapid eye movement from behind his closed eyelids, causing his eyelashes to blink rapidly.
After the bathtub falls through the ceiling, a huge chunk of carcass is seen on top of the pile, but when it goes to the next shot, the pile is missing and it is all smaller chunks.
At 28:28- A member of the crew bumps into the camera.
When Skyler is browsing Jessie's MyShout page, the resolution (or perhaps CSS) changes when they pan back to over her shoulder.
There are thousands of square miles of desert in which to dispose of a corpse. It wouldn't even need to be buried. But Walter makes the decision to dissolve the corpse, indoors, in a bathtub.