The invention relates to a pseudo-isothermal radial chemical reactor for catalytic reactions, comprising a substantially cylindrical shell (2) closed at the opposite ends by respective base plates (3 and 4), a reaction zone (8) comprising a respective catalytic bed (11) and a plurality of heat exchangers (22) placed in said respective catalytic bed (11), characterised in that it comprises at least one second further reaction zone (26) comprising a respective catalytic bed (29) and a plurality of heat exchangers (36) placed in said respective catalytic bed (29) of said second reaction zone (26), said first and said second reaction zone (8 and 26) being in fluid communication with each other. The invention also relates to a method for carrying out pseudo-isothermal catalytic reactions. .
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