If there is no vent off the kitchen sink you would need to install an in-line vent.
WHICH VENT If you're talking plumbing roof vents or soffit or ridge attic air vents; absolutely not!! I can't thing of a single vent that would be opened and closed at will.
It depends on the turns ratio between the primary and the secondary. If the ratio were 10:1, a step-down transformer, for instance, the current in the secondary would be about 50A. If it were 1:10, a step-up transformer, however, the current in the secondary would be about 0.5A.AnswerThe primary current doesn't determine the secondary current. The secondary current is entirely-dependent on the secondary voltage and the impedance of the load. It is this secondary current that the determines the primary current. So you should be asking, "What value of secondary current would result in a primary current of 5.0 A?"
partially clogged drain or vent, improperly installed vent or drain
Yes, but usually not. Birds nest or beehive inside or over top of vent pipe for example would clog vent.