Chapter 1, Problem 1.21NP

An initial step in the biosynthesis of glucose ${\text{C}}_{\text{6}}{\text{H}}_{\text{12}}{\text{O}}_{\text{6}}$ is the carboxylation of pyruvic acid ${\text{CH}}_{\text{3}}\text{COCOOH}$ to form oxaloacetic acid ${\text{HOOCCOCH}}_{\text{2}}\text{COOH}$ ${\text{CH}}_{\text{3}}\text{COCOOH}\left(\text{s}\right)+{\text{CO}}_{\text{2}}\left(\text{g}\right)\to {\text{HOOCCOCH}}_{\text{2}}\text{COOH}\left(\text{s}\right)$

If you knew nothing else about the intervening reactions involved in glucose biosynthesis other than no further carboxylations occur, what volume of ${\text{CO}}_{\text{2}}$ is required to produce 1.10 g of glucose? Assume $\text{P}=\text{1 atm}$ and $\text{T}=\text{298 K}$.