Glucose is actively transported into red blood cells by coupling the transport
with the hydrolysis of ATP. The overall reaction can be written as
$$
\mathrm{ATP}+\mathrm{H}_{2} \mathrm{O}+n \text { Glucose(outside) }
\rightleftharpoons n \text { Glucose(inside)
}+\mathrm{ADP}+\mathrm{P}_{\mathrm{i}}
$$
If the ratio of \([\mathrm{ATPJ} / \mathrm{ADP}]=1\) and
\(\left[\mathrm{P}_{\mathrm{j}}\right]=10 \mathrm{mM}\), what is the
concentration gradient, [glucose(inside)]/[glucose(outside)]. that is
established at \(298 \mathrm{~K} ?\) Calculate this ratio for \(n=1, n=2\), and
\(n=n\). Does this suggest a method for determining the value of \(n\) ? Use the
value of \(\Delta G^{\circ}\) for the hydrolysis of ATP in Appendix 2 for these
calculations.
