MPS is an oxidizer and will stay in the water until it has something to oxidize. Â If you are shocking with MPS, leave you cover off for 15-20 minutes and then you can either close it up or hop in.
It is not so much the MPS in the water but the offgassing of the oxidizing process. Â Some routines actually have you add non chlorine shock before you enter the water (Nature2 for example).