A rock of nearly $5$cm is fed to a gyratory crusher, which requires $12$kW power on no load. The differential screen analysis of the product is given below under column A$.$ The power requirement for crushing is $432$kW$/$ton$.$ By reducing the clearance between the crushing head and the cone, the differential screen analysis of the product becomes as shown in column B$.$ Calculate the power requirement for the second operation using Kicks Law. $10$

Mesh No

Size of the opening $($mm$)$

Weight A

$\%$ retained B

$4$

$4\mathrm{.}7$

$6$

$3\mathrm{.}33$

$3\mathrm{.}1$

$8$

$2\mathrm{.}36$

$10\mathrm{.}3$

$3\mathrm{.}3$

$10$

$1\mathrm{.}65$

$20$

$8\mathrm{.}2$

$14$

$1\mathrm{.}17$

$18\mathrm{.}6$

$11\mathrm{.}2$

$20$

$0\mathrm{.}83.$

$15\mathrm{.}2$

$12\mathrm{.}3$

$28$

$0\mathrm{.}59$

$12\mathrm{.}0$

$13\mathrm{.}0$

$35$

$0\mathrm{.}42$

$9\mathrm{.}5$

$19\mathrm{.}5$

$48$

$0\mathrm{.}30$

$6\mathrm{.}5$

$13\mathrm{.}5$

$65$

$0\mathrm{.}21$

$4\mathrm{.}3$

$8\mathrm{.}5$

$100$

$0\mathrm{.}15$

$0\mathrm{.}5$

$6\mathrm{.}2$

$150$

$0\mathrm{.}10$

$4$

$-150$

$0\mathrm{.}3$