A rectangular tank has a total depth of 10.5m and volume 8200m3, which include a trunkway of depth 0.5 m and volume 200m3 . find the mass of oil of oil of RD 0.8 loaded and the ullage, if 2% of the volume of the tank is left for expansion.

Given :

Depth of the tank is = 10.5m
Volume of the tank = 8200m³
Depth of the trunkway = 0.5m
Volume of the trunkway = 200m³
RD of the oil = 0.8

According to question, 2% of the tank volume left for expansion .
Volume of the tank alone = (8200-200)
= 8000m³

Height of the tank alone = (10.5 -0.5)
= 10 m

2% of the volume of the tank left for expansion .
= (2/100 x 8200)
=164m³

Volume of the oil to be load = (8200 -164)
=8036 m³

Mass of oil to be load = ( volume x density)
= (8036 x 0.8)
= 6428.8t

Volume of the trunkway = (L x B x 0.5)
= 200m³ ( given)

We can calculate Area as = (200 /0.5)
=400m²

Volume of the free space = ullage= (volume of the free space)/(area)
                                                                   = (164/ 400)m
                                                                   =0.41m.