Question70 (Textile Engineering & Fibre Science)
Moisture regain of wool, silk and viscose at 65% RH are 17%, 11% and 11% respectively. Weight of water in 100g of fabric at 65% RH having 50% wool, 25% silk and 25% viscose would be approximately
| (A) | 6.66 g |
| (B) | 9.99 g |
| (C) | 12.22 g |
| (D) | 15.55 g |
[Show Answer]
Option C is correct.
Moisture regain of wool(M.R.wool)=17%
Moisture regain of silk(M.R.silk)=11%
Moisture regain of viscose(M.R.visocse)=11%
Weight of fabric=100 g
Wool%=50%
Silk%=25%
Viscose%=25%
Weight of water=?
Total moisture regain%=(M.R.wool x Wool% + M.R.silk x Silk% + M.R.visocse x Viscose%)/( Wool% + Silk% + Viscose%)
Total moisture regain%=(17 x 50 + 11 x 25 + 11 x 25)/( 50+ 25 + 25)
Total moisture regain%=(850 + 275 + 275)/( 100)
Total moisture regain%=1400/100
Total moisture regain%=14
By formula-
Total moisture regain%=Weight of water(W) x 100/ oven dry weight of fabric(D)
14=W x 100/ D
We know-
Weight of fabric=W+D
100=W+D
D=100-W
14=W x 100/ (100-W)
0.14=W/(100-W)
0.14(100-W)=W
14-0.14W=W
14=1.14W
W=14/1.14
W=12.28
Hence, weight of water(W)=12.28 gm (Ans)