# Constants for Zinc anode weight calculation # Faraday's law: Mass = (I * t * M) / (z * F) # Ah = 70 # M (Molar mass of Zn) = 65.38 g/mol # z (valency of Zn) = 2 # F (Faraday constant) = 96485 C/mol = 26.801 Ah/mol ah_target = 70 molar_mass_zn = 65.38 z_zn = 2 f_ah = 26.801 # Theoretical mass of zinc consumed per cell for 70Ah mass_zn_per_cell_theoretical = (ah_target * molar_mass_zn) / (z_zn * f_ah) # In practice, zinc anodes require an excess (typically 1.5x to 2x) to ensure efficiency and account for utilization limits utilization_factor = 1.5 mass_zn_per_cell_practical = mass_zn_per_cell_theoretical * utilization_factor # Total mass for 10 cells in series total_mass_zn = mass_zn_per_cell_practical * 10 # Calculate thickness based on dimensions # Available width = 6.64 inches, height = 7.20 inches # Convert inches to cm for density calculation (Density of Zn = 7.14 g/cm3) width_cm = 6.64 * 2.54 height_cm = 7.20 * 2.54 area_cm2 = width_cm * height_cm density_zn = 7.14 # g/cm3 # Let's assume a single flat plate first to see nominal thickness, or multiple plates. # Thickness = Mass / (Area * Density) thickness_cm_per_cell = mass_zn_per_cell_practical / (area_cm2 * density_zn) thickness_mm_per_cell = thickness_cm_per_cell * 10 print(f"Theoretical Zinc mass per cell: {mass_zn_per_cell_theoretical:.2f} g") print(f"Practical Zinc mass per cell (1.5x excess): {mass_zn_per_cell_practical:.2f} g") print(f"Total Zinc mass for 10 cells: {total_mass_zn:.2f} g (approx {total_mass_zn/1000:.2f} kg)") print(f"Single plate nominal thickness per cell: {thickness_mm_per_cell:.3f} mm")