| CPC C04B 40/0032 (2013.01) [B01F 35/2111 (2022.01); B01F 35/21111 (2022.01); B01F 35/2113 (2022.01); B01F 35/2115 (2022.01); B28C 5/422 (2013.01); B28C 5/4237 (2013.01); B28C 5/46 (2013.01); B28C 7/12 (2013.01); C04B 22/06 (2013.01); C04B 22/10 (2013.01); C04B 40/0231 (2013.01); G01F 1/00 (2013.01); G01F 1/86 (2013.01); B01F 2101/28 (2022.01); Y02P 40/18 (2015.11)] | 22 Claims |

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1. An apparatus for determining a flow rate of carbon dioxide, comprising:
(i) a delivery line, operably connected to a source of liquid carbon dioxide and a source of gaseous carbon dioxide, through which flows gaseous carbon dioxide, liquid carbon dioxide, or a combination of gaseous and liquid carbon dioxide;
(ii) an orifice at the distal end of the delivery line, through which the carbon dioxide exits from the delivery line, wherein the diameter of the delivery line as it joins the orifice is Dp and the diameter of the orifice is Do, and wherein Do is less than Dp;
(iii) a first temperature sensor proximal to the orifice and configured to detect a first temperature, T, of carbon dioxide in the delivery line and to transmit the detected first temperature to a flow rate calculation system;
(iv) a pressure sensor proximal to the orifice and configured to detect a pressure, Pu, of carbon dioxide in the delivery line and to transmit the detected pressure to the flow rate calculation system; and
(v) a second temperature sensor distal to the orifice and configured to detect a second temperature, TD, of carbon dioxide exiting the orifice and to transmit the detected second temperature to the flow rate calculation system.
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