Assume that the effective root zone for soybeans in a field was $45$ cm$.$ A soil core of $45$ cm in length was taken from the field $48$ hours after the field was uniformly saturated and allowed to drain. It is generally assumed that water in macropores $($pore diameter$>1$ mm in diameter$)$ and mesopores $($pore diameter between $0\mathrm{.}01$ and $1$ mm$)$ are drained and water only remains in the micropores $($diameter $<0\mathrm{.}01$mm$)$ after $48$ hours of free drainage. In addition, macroporosity, mesoporosity and microporosity are defined as the volume fraction of macroporse, mesopores, and micropores in the soil, respectively. The following information was known or was obtained from the soil sample:

Soil sample volume $=1000$ cm$3$ Wet soil weight $=1510$ g

Dry soil weight $=1300$ g Particle density of soil $=2\mathrm{.}60$ g cm$-3$

Permanent wilting point $=0\mathrm{.}13$ cm$3$ cm$-3$ A$)$ What is the mass$-$based soil water content in kg kg$-1?$ B$)$What is the bulk density in g cm$-3?$ C$)$ Assuming the density of water is $1$ g cm$-3,$ what is the volume of water in the soil core in cm$3?$ D$)$ What is the volume$-$based soil water content in cm$3$ cm$-3?$ E$)$ What is the volume of pore in the soil core in cm$3?$ F$)$What is the volume of solid in cm$3?$ G$)$ What is the total porosity in cm$3$ cm$-3?$ H$)$ What is the void ratio? I$)$ What is the sum of macro$-$ and mesoporosity in cm$3$ cm$-3?$ J$)$ What is microporosity in cm$3$ cm$-3?$