# Let's calculate the free electrolyte volume per chamber.
# Total chamber dimensions: 1.07" (L) x 6.64" (W) x 7.20" (H)
# Convert inches to cm:
inch_to_cm = 2.54
cell_L = 1.07 * inch_to_cm
cell_W = 6.64 * inch_to_cm
cell_H = 7.20 * inch_to_cm

total_chamber_volume_cm3 = cell_L * cell_W * cell_H

# Let's subtract the solid volumes of the components.
# Anode: Two sheets of Zinc per cell, total mass = 128.07g
# Density of Zinc = 7.14 g/cm^3
zinc_density = 7.14
zinc_volume = 128.07 / zinc_density

# Cathode: 454.54g MnO2 + 80.21g Carbon = 534.75g total dry mass
# MnO2 bulk density roughly 5.03 g/cm^3, Carbon powder bulk density roughly 2.1 g/cm^3
# Or let's use the estimated thickness from previous prompt: 0.32 inches thick on either side of the mesh.
# Total cathode thickness = 0.64 inches.
# Let's look at the packed volume. 534.75g of wet mix compacted powder has an assumed porosity.
# Typical compacted MnO2/Carbon electrode has a porosity around 30% to 40%.
# Let's compute based on true solid volume vs total matrix volume.
# Solid volume of MnO2 = 454.54 / 5.03 = 90.37 cm^3
# Solid volume of Carbon = 80.21 / 2.1 = 38.20 cm^3
# Solid volume of Cathode = 90.37 + 38.20 = 128.57 cm^3
# If the cathode has a geometric volume of 0.64" * 6.64" * 7.20" * (2.54^3) = 501 cm^3, that implies a very high porosity or water content.
# Wait, let's look at the physical volume occupied by the cathode jacket:
cathode_thickness_in = 0.64
cathode_geom_vol = cathode_thickness_in * 6.64 * 7.20 * (inch_to_cm**3)
# Porosity of cathode matrix = (cathode_geom_vol - solid_vol) / cathode_geom_vol
# The void space in the cathode needs to be filled with electrolyte!

# Let's look at the separator (Polypropylene Felt):
# Relaxed thickness was wrapped, compressed to 70-80%.
# Remaining thickness space for separator = Total cell L (1.07") - Anodes (0.58mm = 0.058cm) - Cathode jacket (0.64" = 1.6256cm)
# Let's convert everything to cm to be exact.
cell_L_cm = 1.07 * 2.54 # 2.7178 cm
zinc_thick_cm = 0.058 # 0.058 cm
cathode_thick_cm = 0.64 * 2.54 # 1.6256 cm
separator_thick_cm = cell_L_cm - zinc_thick_cm - cathode_thick_cm # 1.0342 cm
# Separator geometric volume:
sep_geom_vol = separator_thick_cm * (6.64 * 2.54) * (7.20 * 2.54)

# Polypropylene felt porosity is typically very high: around 70% to 80%. Let's use 75%.
sep_porosity = 0.75
sep_void_vol = sep_geom_vol * sep_porosity

# Cathode void space:
solid_vol_cathode = (454.54 / 5.03) + (80.21 / 2.1) # 128.57 cm^3
cathode_void_vol = cathode_geom_vol - solid_vol_cathode

# Total liquid electrolyte volume per cell = Sep void vol + Cathode void vol + Top headspace pool
# Let's say top headspace pool is about 0.25 inches deep across the cell top footprint (1.07" x 6.64")
headspace_vol = 0.25 * 1.07 * 6.64 * (2.54**3)

total_liquid_per_cell = sep_void_vol + cathode_void_vol + headspace_vol
total_liquid_10_cells = total_liquid_per_cell * 10

print(f"Chamber Volume: {total_chamber_volume_cm3:.2f} cm3")
print(f"Cathode Void Volume: {cathode_void_vol:.2f} cm3")
print(f"Separator Void Volume: {sep_void_vol:.2f} cm3")
print(f"Headspace Volume: {headspace_vol:.2f} cm3")
print(f"Total Liquid Per Cell: {total_liquid_per_cell:.2f} mL")
print(f"Total Liquid for 10 Cells: {total_liquid_10_cells:.2f} mL")