A battery includes an essentially airtight housing having an air-permeable opening for pressure compensation. The battery also includes a plurality of battery cells arranged in the housing. The battery also includes an active cooling device configured to cool the battery cells in the housing. The cooling device includes a coolant and a distributor block configured to distribute the coolant. The battery also includes an air duct integrated in the distributor block. The air duct is configured and arranged such that the air-permeable opening of the housing is connected to ambient air via the air duct.