Final answer:
The voltage generated by the pH gradient across the membrane of a glass electrode is 0.302 volts, regardless of temperature.
Step-by-step explanation:
The voltage generated by the pH gradient across the membrane of a glass electrode can be calculated using the Nernst equation. The Nernst equation is given by:
E = E' + (0.0591 V × log[H+])
Where E is the voltage, E' is a constant specific to the electrode, and [H+] is the hydrogen ion concentration. To calculate the voltage at 25 °C, we can substitute the pH difference of 5.11 into the equation and solve for E:
E = E' - 0.0591 V × pH
E = E' - (0.0591 V × 5.11)
E = E' - 0.302 V
Similarly, to calculate the voltage at 37 °C, we can substitute the pH difference of 5.11 into the equation and solve for E:
E = E' - (0.0591 V × pH)
E = E' - (0.0591 V × 5.11)
E = E' - 0.302 V
Therefore, regardless of temperature, the voltage generated by the pH gradient across the membrane of the glass electrode is 0.302 volts.