Answer and Explanation: One ATP release approximately 30.5kJ/mol of energy. Using Avogadro's constant, it is known one mol corresponds to molecules, so 106 ATP molecules releases:
E =
E = J
A cell is approximately a sphere. Volume of a sphere is given by
V =
Changing radius from mm to m:
r = m
Then, volume is
V =
V = m³
Power density is given by
power = 12.8. W/m³
Power density for a the cell is 12.8. W/m³.
Power density for battery is
100 cm³ = m³
power =
power = W/m³
Comparing cell and battery, battery has a greater power density.