In: Mechanical Engineering
A.)
All the sulphur added is not utilised for cross linking. Only 12% is utilised for cross linking .
Atomic weight of chloroprene C4H5Cl = 88.5365 g/mol
Atomic weight of sulphur S = 32.065 g/mol
Only 12% is utilised so make 1 Complete cross linking 100/12 = 8.33 times extra sulphur should be added.
So 88.5365 gram of chloroprene requires 32.065 8.33 = 267.198 gram
In the problem it is given that 15 gram of sulphur is added means
15 12% = 1.8 gram is utilised in cross linking.
Amount of sulphur present per mer weight of chloroprene is
x = 1.8 gram
Fraction of cross linking = 1.8 / 32.065 = 0.0561 = 5.614 %
For your practice purpose I am giving you one more example below
B.) Polybutadiene is not an elastomer . It has a melting point of 80°C.
But Polybutadiene can exhibit the elastomeric behaviour!.
The temperature range for the elastic behaviour of elastomers is
limited by the
glass transition temperature (Tg). At temperatures lower than glass
transition
temperature the movement of molecule chains is very restricted and
the large
elastic deformations are not possible. Elastomers are rigid and
fragile materials
below the glass transition temperature.
So glass transition temperature of Polybutadiene ranges from -20°C to 110°C for different addition of monomers. At -10°C Polybutadiene does not exhibits elastomeric behaviour.