GATE (TF) Textile 2016 Question Paper Solution | GATE/2016/TF/47

Question 47 (Textile Engineering & Fibre Science)

The fibre packing density in a cotton bale of 170 kg weight and dimensions 1060 mm (L) x 530 mm (W) x 780 mm (H), assuming cotton fibre density to be 1.54 g/cm3, is __0.24 : 0.26__.

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Given in the question:

Dimensions of the bale-
Length(L)=1060 mm
L=106.0 cm

Width(W)=530 mm
W=53.0 cm

Height(H)=780 mm
H=78.0 cm

Bale weight=170 kg
=170000 gm

Cotton fibre density=1.54 g/cm3


Mass of bale=Volume of bale x Density of bale

170000=(Length x width x height of bale) x density of bale

170000=(106 x 53 x 78) x density of bale

170000=(438204) x density of bale

Density of bale=170000/438204

Density of bale=0.39 g/cm3

Now, by formula-

Packing density(P.C.)=density of bale/density of fibre

Packing density(P.C.)=0.39/1.54

Packing density(P.C.)=0.25 (Answer)

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