A $10g$ sample of cement $(s.g.=3\mathrm{.}15)$ is mixed with $4g$ of water and is sealed in a water$-$tight

container. After $3$ months it is determined, by measuring the non$-$evaporable water content,

that the degree of hydration is $=0\mathrm{.}80.$

Based on the information above, calculate the following $($include units$)$:

a$)$ Initial volume of cement, vc

b$)$ Initial volume of water, Vw

c$)$ Initial volume of paste, $V{p}_p$

d$)$ Volume of remaining unhydrated cement, Vu

e$)$ Volume of hydrated paste, Vhp

f$)$ Volume of capillary pores, vcap

g$)$ Capillary porosity, Pcap

h$)$ Power's Gel Space Ratio, X

i$)$ Volume of gel pores, Vgp

j$)$ Gel porosity, Pgel

k$)$ Maximum theoretical degree of hydration possible, ${}_{\text{m}\text{a}\text{x}}$

I$)$ Would ${}_{\text{m}\text{a}\text{x}}$ be higher if the sample was cured in water? Why?