Abstract: The device for metering the volume of gas flowing in a pipe, downstream from an expander-regulator, comprises in succession a flow straightener, a velocity-measuring flowmeter, and a silent flowrate limiter. The straightener comprises a support ring in which there are mounted a first perforated plate having holes distributed over its surface, together with a first porous plate and a spacer in the form of an annulus co-operating with the first perforated plate. The limiter comprises an upstream web defining a second perforated plate perforated by a defined number of calibrated holes, the total flow section thereof being much less than the total flow section of the first perforated plate, a second perforated plate, and a downstream web defining a third perforated plate having holes of total flow section that is much greater than the total flow section of the second perforated plate of the upstream web.