A clay stratum $6$ meters thick has initial void ratio of $1\mathrm{.}52$ and effective

overburden pressure of $125$ kN$/$m$2.$ When the sample is subjected to increase

in pressure of $100$ kN$/$m$2,$ the void ratio reduces to $1\mathrm{.}45.$ Determine the

coefficient of volume compressibility, compression index and final settlement

of stratum.