A crusher is fed with limestone having particles of $2$ cm median equivalent diameter and discharges a product consisting of particles of $0\mathrm{.}5$ cm median equivalent diameter. The equipment operates at a capacity of $1\mathrm{.}2\backslash$times $104$ kg$/$h consuming a power of $10$ hp$.$ If the requirements of the process demand a finer size of the product $(0\mathrm{.}4$ cm of median equivalent diameter$)$ decreasing the capacity to $1\mathrm{.}0\backslash$times $104$ kg$/$h$,$ determine the theoretical power consumption under the new conditions using Rittingerss law, Kicks law and Bond crushing law. In $($kW units$)$