# 	**Problem 6.1**
# A soil sample is collected and taken to the lab. The volume of the sample 
# is 75 cm3. At the natural water content, the sample weighs 158.88 g. It 
# is then saturated with water and reweighed. The saturated weight is 
# 164.34 g. The sample is gravity drained, and its weight is found to be 
# 147.30 g. Finally, it is oven-dried; the dry weight is 142.89 g. Assume 
# the density of water is 1.00 g/cm3. 
Vol_soil = 75 cm^3
mass_natural = 158.88 g
mass_saturated = 164.34 g
mass_gravity = 147.30 g
mass_oven = 142.89 g
density_water = 1.00 g/cm^3
density_particle = 2.65 g/cm^3

# Derived quantities
mass_water = mass_natural - mass_oven
Vol_water = mass_water/density_water
Vol_voids = (mass_saturated - mass_oven)/density_water
Bulk_density = mass_oven/Vol_soil

# Part A: Volumetric water content
Theta = Vol_water / Vol_soil

# Part B: Gravitmetric water content
Theta_gravimetric = (mass_natural - mass_oven)/mass_oven

# Part C: Saturation ratio
Sat_ratio = Vol_water / Vol_voids

# Part D: Porosity
n = Vol_voids / Vol_soil

# Part E: Specific Yields
Spec_yield = ((mass_saturated - mass_gravity)/density_water) / Vol_soil

# Part F: Specific retention
Spec_retention = ((mass_gravity - mass_oven)/density_water) / Vol_soil

# Part G: Dry bulk density
Dry_bulk_density = mass_oven/Vol_soil; g/cm^3

# Part H: Porosity from density
n = 1 - Bulk_density/density_particle