I have been a ChE for 35 years. I've specified hundreds of flow meters. Your question is logical, but, like your customer, it lacks the detail needed to progress to an answer. I wanted to know if you were a ChE with degree, a ChE student, or something else so I could chose the right vocabulary.
A picture is worth a thousand words. Can you upload the P&ID? Or, the PFD? Or, a well labelled sketch?
If not, what kind of meter is used now? What is the actual T and P, or ranges of T's and P's, at the point where the flow is measured?
This is not really important to answer the question, but why is the RX blanketed with nitrogen? Flammability? N2 is consumed in the rxn? Color issues if not inerted? Moisture issues? What? Is this the only N2 user in the plant? The reason I ask is we just monitor the liquid level in our liquid N2 tank. We have no flow meters on our blanket systems. We use conservation vents and maintain a slight pressure of N2 in tanks and RXs. If the usage gets high, folks start listening for leaks, sssssssssss, and fix them. And, why an expensive meter like a coriolis meter? There must be a less expensive choice! A rotameter comes to mind. You can probably get a rotameter for 1/10th the cost of a coriolis meter. The installation of a rotameter is much less complex and expensive than a coriolis meter. Just wondering.