NOVELTY - A methanol synthesis system for synthesizing methanol out of a source gas containing light hydrocarbons comprises a syngas reactor arranged to receive source gas from hydrocarbon gas supply and oxygen-containing fluid from oxygen supply. The syngas reactor is arranged to produce and discharge an intermediate reaction product including syngas. It comprises a gasification reactor.    USE - For synthesizing methanol (claimed).    ADVANTAGE - Gasification to produce the syngas as the intermediate reaction product for methanol synthesis allows discharge of the intermediate reaction product at a pressure higher than 60 (preferably 80) bar. Consequently, only a light compressor or even no compressor is required between the syngas reactor and methanol reactor to bring the syngas to the desired pressure for the methanol reactor. Gasification also produces relatively low amounts of inert components, e.g. methane, nitrogen, and argon, which enhances the methanol reaction efficiency.    DETAILED DESCRIPTION - A methanol synthesis system for synthesizing methanol out of a source gas containing light hydrocarbons comprises a hydrocarbon gas supply for providing the source gas; an oxygen supply for providing an oxygen-containing fluid; a syngas reactor (2) arranged to receive the source gas from the hydrocarbon gas supply and the oxygen-containing fluid from the oxygen supply, wherein the syngas reactor is arranged to produce an intermediate reaction product from the source gas and the oxygen-containing fluid and to discharge the intermediate reaction product including syngas; and a methanol reactor (5) arranged to receive at least a fraction of the intermediate reaction product from the syngas reactor and arranged to let the intermediate reaction product react into methanol via a methanol-forming reaction. The methanol reactor is provided with a methanol outlet (11) for discharging the formed methanol and an offgas outlet (12) for discharging an offgas. The syngas reactor comprises a gasification reactor. A gas flow path extends between the hydrocarbon gas supply and the methanol outlet and, in flow direction, passes through the hydrocarbon gas supply, syngas reactor, methanol reactor and methanol outlet. The system further comprises a hydrogen (H2) supply system for injecting an H2-containing gas into the gas flow path through an H2 inlet located upstream the methanol reactor and downstream the syngas reactor; and a pressure swing absorber as H2 separator (14) arranged to receive at least a fraction of the offgas discharged through the offgas outlet and to separate H2 from the received offgas and to discharge separated H2 into the H2 supply system.    An INDEPENDENT CLAIM is also included for a process of synthesizing methanol out of a source gas containing light hydrocarbons comprising extracting the source gas from a hydrocarbon gas supply; reacting the light hydrocarbons from the source gas with oxygen to produce a syngas-containing intermediate reaction product via a syngas-forming reaction; reacting at least a fraction of the intermediate reaction product into methanol via a methanol-forming reaction, whereby an H2-containing offgas is also produced; discharging the methanol and offgas through a methanol outlet and an offgas outlet downstream the methanol-forming reaction, whereby the syngas-forming reaction comprises gasification; separating H2 from at least part of the offgas; and injecting separated H2 into a gas flow path extending between the hydrocarbon gas supply and the methanol outlet.    DESCRIPTION OF DRAWING(S) - The figure shows a methanol synthesis system of the invention.    Air separation unit (1)    Syngas reactor (2)    Methanol reactor (5)    Gas cleaning unit (6)    Internal recycle loop (7)    Methanol recycle compressor (8)    Gas-liquid separator (10)    Methanol outlet (11)    Offgas outlet (12)    H2 separator (14)    Compressor (16)    Syngas cooler (17)