When the effective pressure acting at the mid$-$height of a consolidating clay layer is $200$kPa, the corresponding void ratio of the clay is $0\mathrm{.}98.$ When the effective pressure at the same location is $500$kPa, the corresponding void ratio decreases to $0\mathrm{.}81.$

Determine the void ratio of the clay if the effective pressure acting at the mid$-$height of the clay is $1000$kPa.