Question 40 (Textile Engineering & Fibre Science)
The daily production of a mill is 1200 kg of 30 tex and 1200 kg of 20 tex yarns. The average yarn tex produced by the mill is
| (A) | 23 |
| (B) | 24 |
| (C) | 25 |
| (D) | 26 |
Answer / Solution
1)Production(P1)=1200 kg
=1200000 gm
Tex(T1)=30
i.e., 30 gm weight of yarn have=1000 meter length
1 gm weight yarn will have=1000/30
Then, 1200000 gm weight have=1000*1200000/30
Length of 30 tex yarn by production P1=40000000 meter
Length(L1)=4*107 meter
2)Production(P2)=1200 kg
=1200000 gm
Tex(T2)=20
i.e., 20 gm weight yarn have=1000 meter length
so, 1 gm will have……=1000/20
Then, 1200000 gm weight will have=1000*1200000/20
=60000000 meter length
Length of 20 tex yarn by production P2=6*107
Length(L2)=6*107 meter
Total length produced(L)=L1+L2
L=4*107+6*107
L=10*107 meter
and
Tota l production(P)=P1+P2
P=1200000+1200000
P=2400000 gm
Now,we have calculated
Total length(L)=10*107 meter
L=108 meter
Total weight(P)=2400000 gm
P=24*105
By definition of tex–
108 meter total yarn length have=24*105 gm total weight
1 meter yarn length have=24*105/108
Then, 1000 meter yarn length have=24*105 x 1000/108
=24
i.e , Tex=24
i.e., The average yarn tex produced by the mill is 24 (Answer)