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Studies on the use of nano zinc oxide and modified silica in NR, CR ...

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Experimental Techniques <strong>and</strong> Materials <strong>use</strong>d<br />

is known to <strong>in</strong>dicate <strong>the</strong> number <strong>of</strong> effective network cha<strong>in</strong>s per unit volume<br />

<strong>of</strong> rubber. For a filled vulcanizate, it should reflect not <strong>on</strong>ly <strong>the</strong> effect <strong>of</strong><br />

chemical l<strong>in</strong>kages but also <strong>the</strong> density <strong>of</strong> polymer– filler attachments.<br />

Circular specimens <strong>of</strong> diameter 20 mm were punched out from <strong>the</strong><br />

vulcanized sheets. Specimens <strong>of</strong> known weight were immersed <strong>in</strong> <strong>the</strong><br />

solvents <strong>in</strong> different test bottles <strong>and</strong> kept at room temperature. Samples were<br />

removed from <strong>the</strong> bottles at periodic <strong>in</strong>tervals <strong>and</strong> <strong>the</strong> wet surfaces were<br />

quickly dried us<strong>in</strong>g tissue paper <strong>and</strong> <strong>the</strong> weights <strong>of</strong> <strong>the</strong> specimen after<br />

swell<strong>in</strong>g were determ<strong>in</strong>ed at regular <strong>in</strong>tervals, until no fur<strong>the</strong>r <strong>in</strong>crease <strong>in</strong><br />

solvent uptake was detected.<br />

The volume fracti<strong>on</strong> <strong>of</strong> rubber, Vr, <strong>in</strong> <strong>the</strong> swollen network was <strong>the</strong>n<br />

calculated by <strong>the</strong> follow<strong>in</strong>g equati<strong>on</strong> 2.4 . 7, 8<br />

Where,<br />

Vr =<br />

(D − FT) ρ<br />

(D − FT) ρ + A ρ<br />

−1<br />

r<br />

−1 −1<br />

r o s<br />

T = <strong>the</strong> weight <strong>of</strong> <strong>the</strong> test specimen<br />

D = <strong>the</strong> weight <strong>of</strong> <strong>the</strong> deswollen test specimen<br />

F = <strong>the</strong> weight fracti<strong>on</strong> <strong>of</strong> <strong>in</strong>soluble comp<strong>on</strong>ents<br />

………………………. (2.4)<br />

Ao = <strong>the</strong> weight <strong>of</strong> <strong>the</strong> absorbed solvent corrected for <strong>the</strong> swell<strong>in</strong>g<br />

<strong>in</strong>crement<br />

ρr = density <strong>of</strong> <strong>the</strong> rubber<br />

ρs = density <strong>of</strong> <strong>the</strong> solvent<br />

1<br />

Know<strong>in</strong>g <strong>the</strong> value <strong>of</strong> Vr, <strong>the</strong> total chemical crossl<strong>in</strong>k density Mc was<br />

2<br />

calculated us<strong>in</strong>g Flory-Rehner equati<strong>on</strong>. 9, 10<br />

Cross l<strong>in</strong>k density =<br />

[ n(1<br />

− V ) + V + χV<br />

2 ρVs(<br />

V )<br />

Where Vs = molar volume <strong>of</strong> <strong>the</strong> solvent<br />

2]<br />

r r<br />

1/3<br />

r<br />

r<br />

χ = rubber – solvent <strong>in</strong>teracti<strong>on</strong> parameter<br />

56

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