TECHNOLOGY FOCUS - CHEMICAL ENGINEERING - Preferred Plant: The processing plant (G1) further comprises a separator that is fluidly coupled between an expander and the demethanizer such that the expander discharge stream is a vapor portion of an expander discharge; a pressure reduction device that further reduces temperature of the cooled portion of the carbon dioxide-containing feed gas to form a subcooled reflux stream (7) to the refluxed demethanizer; and a primary exchanger that is configured to chill the carbon dioxide-containing feed gas to a temperature of -20 to 50degreesF. Preferred Components: The thermal sensor is located within the second to fifth trays of the demethanizer. The separator is further configured to provide a liquid stream to the demethanizer. The heat exchanger is further configured to use refrigeration content from an absorber overhead product to cool a portion of the carbon dioxide-containing feed gas. The heat exchanger is configured to allow cooling of the portion of the carbon dioxide-containing feed gas from -20 to 50degreesF to -100degreesF. The heat exchanger is further configured to provide heat content from the portion of the carbon dioxide-containing feed gas to the flow volume of the bypass loop to form the temperature-controlled expander discharge.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Process: The process (P1) further involves a step of fluidly coupling a separator between an expander and the demethanizer such that the expander discharge stream is a vapor portion of an expander discharge. In the process (P1), the thermal sensor is located within the second to the fifth trays of the demethanizer. The separator further provides a liquid stream to the demethanizer. The heat exchanger uses refrigeration content from an absorber overhead product to cool a portion of the carbon dioxide-containing feed gas. The heat exchanger cools the portion of the carbon dioxide-containing feed gas from a temperature of -20 to 50? to -100degreesF. The pressure reduction device reduces temperature of the cooled portion of the carbon dioxide-containing feed gas to form a subcooled reflux stream to the refluxed demethanizer. The heat exchanger provides heat content from a portion of the carbon dioxide-containing feed gas to the flow volume of the bypass loop to form the temperature-controlled expander discharge. The heat exchanger further provides heat content from the portion of the carbon dioxide-containing feed gas to the flow volume of the bypass loop to form the temperature-controlled expander discharge. The primary exchanger chills the carbon dioxide-containing feed gas to a temperature of -20 to 50degreesF.