Energetics of sodium transport in toad urinary bladder

The ratio of the rate of transepithelial sodium transport, JNa, across the isolated toad urinary bladder to the simultaneously measured rate of transport-dependent metabolism, JsbCO2, has been measured as a function of the transepithelial electrical voltage, deltapsi. The ratio remains constant with a mean value of 18 to 20 over the range of imposed voltages of 0 to +70 mV. With increasing hyperpolarization of the bladder, JNa decreases and the calculated electromotive force or apparent "ENa" of the sodium pump increases. From thermodynamic and kinetic arguments it is shown that the apparent "ENa" approaches the maximal electrochemical potential gradient, ENa, against which sodium can be transported by this tissue only when JNa approximately 0. At this unique condition F ENa (in which F is the Faraday constant) is the maximal free energy of the chemical reaction driving sodium transport and thus equal to the maximal extramitochondrial phosphorylation potential and the maximal free energy of the mitochondrial respiratory chain within the transporting cells.