$7.$If a soil contains solid particles with a specific gravity of $2\mathrm{.}65,$ what is maximum possible dry density that could be obtained by compaction at a water content of $12\mathrm{.}2\%?$

Give your answer in units of $k\frac{N}{m^3}$A mass of $5500g$ of soil is used for a laboratory compaction test and has an initial water content of $6\mathrm{.}5\%.$

$6.$ How much water $($in g$)$ needs to be added to this sample to increase its water content to $16\mathrm{.}7\%?$

Note: report your answer to the nearest gram