The screen analysis of crushed quartz sample is given in Table$-1.$ Assuming particles to be

cubic with a density of $2,650k\frac{g}{m^3}(0\mathrm{.}00265\frac{g}{m}{m}^3).$ For quartz sample between $3-$mesh and

$170-$mesh in particle size, calculate $($a$)$ sphericity of the cubic particles, $($b$)$ specific surface

area of the quartz sample in $m\frac{m^2}{g}m,($b$)$ number of particles per unit mass in $120/170-$mesh

increment.

Note: $1)120/170$ means 'through $120$ mesh and on $170$ mesh', $2)$ exclude pan fraction in your

calculation.

Table $1$: Screen analysis of crushed quartz