Here’s my thinking/guess; your original converter was burnt out for whatever reason (likely over fueling or misfire). You replace it with a used one, that was on its last legs and whatever burnt out the original, took this one out as well.
Now, you don’t have to guess whether the converter is bad or not because they can be tested; with the use of a gas analyzer and this math formula.
Pre cat gas minus post cat gas divided by pre cat gas multiplied by 100 equals catalyst efficiency percentage.
Anything below 70% efficient is considered junk.
At the same time the converter is being tested you can determine whether the engine output gases are within acceptable levels; as to not burn out the next converter.
Converters do not die of natural causes; they are murdered.
Acceptable pre converter levels are approximately .5% (1/2) carbon monoxide (CO), 50 parts per million hydrocarbons (HC). As for the other gases O2, CO2 and NOX; well they’ll mostly fall in place, once the CO and HC are with in spec and it is high levels of CO & HC that take out converters.
I know that a DIYer will not likely have access to a gas analyzer but I only charge about ½ hour’s labour to perform the test.
This entails drilling a small test port in front of the converter; taking my gas analyzer samples and then plugging the test port; the post cat samples can be taken at the tail pipe.
I do a fair amount of testing on converters; being an accredited repair facility in Ontario’s emissions testing program. Almost every time I find a bad converter; it’s because the engine wasn’t running properly or there has been some form of engine management work done on the vehicle, very recently.
Dan
Canadian "EH"