A check valve includes a valve body having an inlet end through which air enters the valve and a valve cavity extending through the valve body and leading to an outlet end. A valve assembly is located at a position that enables control of the flow of air through the valve cavity. The valve assembly includes a tapered section having a cross section that increases in diameter in a direction that is downstream from the inlet end of the valve and which may be included as part of a plug. An elastomeric seal is mounted around the tapered section to reciprocate on the tapered section, with the tapered section biasing the elastomeric seal to a normal position at which the seal comes into sealing contact with both the valve body and tapered section to prevent the downstream flow of air from the inlet end out the outlet end.