A permeant gas is selectively transferred from a feed-gas mixture which comprises the permeant gas and at least one other component to an output fluid by the process of the invention. The process involves introducing a selective-permeation liquid into a permeation-transfer chamber. A gas-depletion channel and a gas-enrichment channel pass through the permeation chamber and are separated from the chamber respectively by porous walls. The selective-permeation liquid contacts the porous walls but does not flow into the gas-depletion or gas-enrichment channels. The feed-gas mixture is introduced into the gas-depletion channel so that permeant gas in the mixture can pass through the pores of the walls of the channel into the selective-permeation liquid and from the selective-permeation liquid through the pores of the walls of the gas-enrichment channel into the gas-enrichment channel. Permeant gas is withdrawn from the gas-enrichment channel and a stream of gas depleted in the permeant gas is withdrawn from the gas-depletion channel. A gas-transfer unit permits the process of the invention to be carried out effectively.