A rectangular tank has a total depth of 21m and volume 10250m3 which include a trunkway of trunkway of depth 1m and volume 250m3. Oil of RD 0.9 is to be loaded for expansion. find the mass of oil to be loaded and the final ullage.

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Given :

Total depth of the tank =21m

qes 10

Total volume of the tank =10250m3
RD =0.9

According to question , Space left for expansion is
=(3% of the volume of the oil)

Let ā€˜vā€™ be the volume of the oil
3 /100 x v = volume of free space
(Volume of free space) + (volume of oil) = (volume of tank)
( 3/100 x v + v ) = 10250m3
(3v /100 + v) = 10250m3
(103v /100)  = 10250m3
V = (10250Ɨ100 /103)
 = 9951.456m3

Volume of the free space = (10000 -9951.456) m3
= 48.544m3

Depth of the free space = (volume / area )
= (48.544 /500)
= 0.0970m

Hence ,  final  Ullage  =( 1.0 + 0.0970)
                   = 1.097m .

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