Q. If 12m ^ 3 of mercury weights 1590 kN, Calculate specific weight, mass density, specific gravity and specific volume.
SOLUTION:
Given data:
Weight of mercury W = 1590kN = 1590 * 1000N
Volume, V = 12m ^ 3
Specific weight = ?
Specific gravity = ?
Mass density = ?
Specific volume = ?
SPECIFIC WEIGHT,,
w = W/V
= (1590 * 1000)/12
= 1,32,500Nm ^ 3
MASS DENSITY, ρ = w/g
= 132500/9.81
= 13506.62kgm^3
( g taken as = 9.81kgm³)
SPECIFIC GRAVITY OF MERCURY, S = density of mercury /density of water
S = 13506.62/1000
=13.51 ( density of water =1000kgm³)
SPECIFIC VOLUME V = 1/w
= 1/132500
= 7.547×10^-6m³N
SPECIFIC WEIGHT = 1,32,500Nm ^ 3
SPECIFIC GRAVITY = 13.51
MASS DENSITY = 13506.62kgm^3
SPECIFIC VOLUME = 7.547×10^-6m³N
DEFINITION
MASS :Mass density (or specific mass) of a fluid is its mass per unit volume. It is denoted by a symbol p (rho). In S.I units it is expressed in KN/m³
SPECIFIC WEIGHT:weight (or weight Density) of a fluid is its weight per unit volume. It is represented by a symbol w (or) Y (gama). In S.I units it is expressed in N/m³
SPECIFIC VOLUME:volume of the fluid per unit weight. Thus it is the reciprocal of specific weight It is denoted by u. in Sl units it is expressed in m³/N
SPECIFIC GRAVITY:ratio of specific weight of the fluid to the specific weight of standard fluid. It is dimensionless and has no units.
