Polymers
In the following reaction sequence, major products $\mathbf{X}$ and $\mathbf{Y}$ are acyclic monomers.

500 mol of $\mathbf{X}$ completely reacts with 500 mol of $\mathbf{Y}$ to give 1 mol of a single biodegradable acyclic copolymer $\mathbf{Z}$ as the only product. The amount of $\mathbf{Z}$ formed in grams is $\_\_\_\_$ .
Given :
Atomic mass (in amu): $\mathrm{H}: 1, \mathrm{C}: 12, \mathrm{~N}: 14, \mathrm{O}: 16, \mathrm{Br}: 80$
Explanation:


Calculation of water molecules lost
Each monomer of $X$ and $Y$ combines by losing $2$ moles of water per linkage. When $500$ moles of each react, total possible water molecules lost will be:
$ 500 \times 2 - 1 = 999 $
Mass of water lost
Mass of water lost = (number of moles of water) × (molar mass of water)
$ = 999 \times 18 = 17982 \text{ g} $
Mass of polymer formed
Total mass of reactants = (mass of 500 mol of X) + (mass of 500 mol of Y)
$ = 75 \times 500 + 131 \times 500 = 37500 + 65500 = 103000 \text{ g} $
Therefore, mass of polymer formed, $Z$, after losing water is:
$ 103000 - 17982 = 85018 \text{ g} $
Hence, the mass of polymer $Z$ formed is 85,018 g.
The monomer (X) involved in the synthesis of Nylon 6,6 gives positive carbylamine test. If 10 moles of X are analyzed using Dumas method, the amount (in grams) of nitrogen gas evolved is ______.
Use: Atomic mass of N (in amu) = 14
Explanation:
Positive carbylamine test is given by primary amine compounds. Hexamethylene diamine is a primary amine compound and can give positive carbylamine test.
So, the monomer $X$ is hoxamethylene diamine.
$
\begin{aligned}
&\begin{aligned}
x \rightarrow \mathrm{H_2N}-\left(\mathrm{CH}_2\right)_6-\mathrm{NH}_2 \quad & \text { Molarmars } & \\
= & 6 \times 12 \mathrm{~g} / \mathrm{mol}+2 \times 14 \mathrm{~g} / \mathrm{mol} +16 \times 1 \mathrm{~g} / \mathrm{mol} & \\
= & 116 \mathrm{~g} / \mathrm{mol} &
\end{aligned}\\
&\text { Moles of } X \text { analyzed using Dumas method }=10 \mathrm{~mol}
\end{aligned}
$According to Dumas method, the nitrogen present in the compound is released as nitrogen gas $\left(\mathrm{N}_2\right)$,
The general chemical equation fol Dumas method can be written as$
\mathrm{C}_x \mathrm{H}_y \mathrm{~N}_z+\left(2 x+\frac{y}{2}\right) \mathrm{CuO}(\mathrm{~s}) \xrightarrow{}
$(organic
Compound)$
x \mathrm{CO}_2(g)+\frac{y}{2} H_2 \mathrm{O}(gold )+\frac{z}{2} \mathrm{~N}_2(g)+\left(2 x+\frac{y}{2}\right) \mathrm{Cu}(s)
$The compound used in Dumas method is hexamethylene diamine. Its formula is $\mathrm{C}_6 \mathrm{H}_{16} \mathrm{~N}_2$$
\text { So, the equation can be written as, }
$$
\mathrm{C}_6 \mathrm{H}_{16} \mathrm{~N}_2+20 \mathrm{CuO} \rightarrow
$$
6 \mathrm{CO}_2+8 \mathrm{H}_2 \mathrm{O}+1 \mathrm{~N}_2+20 \mathrm{Cu}
$$
\text { So, } 1 \text { mole of } \mathrm{C}_6 \mathrm{H}_{16} \mathrm{~N}_2 \text { gives. } 1 \text { mole of } \mathrm{N}_2 \text {. }
$Given 10, moles of $\mathrm{C}_{6}\mathrm{H}_{16} \mathrm{~N}_2$ (hexamethylene diamine) gives 10 moles of $\mathrm{N}_2$ gas.Moles of $\mathrm{N}_2$ gas evolved $=10$ mol Mass can be calculated as, \begin{aligned}
&\text { Moles }=\frac{\text { mass }}{\text { molarmass }}\\
&\text { Moloumass of } \mathrm{N}_2=28 \mathrm{~g} / \mathrm{mol}
\end{aligned}mass $=$ moles $\times$ molar mass$
\begin{aligned}
&\begin{aligned}
& =10 \text { mol } x 28 \mathrm{~g} / \mathrm{mol} \\
& =280 \mathrm{~g}
\end{aligned}\\
&\text { Answer: } 280 \%
\end{aligned}
$
The Novolac polymer has mass of 963 g. The number of monomer units present in it are
Explanation:

Molar mass of monomer is $107 \mathrm{~g} / \mathrm{mol}$
$ \mathrm{n}=\frac{963}{107}=9 $
The number of monomer units present in it is 9.
Monomer A of a polymer on ozonolysis yields two moles of HCHO and one mole of CH$_3$COCHO.
(A) Deduce the structure of A.
(B) Write the structure of "all $cis$" forms of polymer of compound A.
Explanation:
(A) The monomer A on ozonolysis yields two molecules of HCHO and a molecule of CH$_3$COCHO. During ozonolysis, the double or triple bonds in the molecule are replaced by carbonyl groups.
Therefore, if we remove the oxygen atoms from 2 molecules of HCHO and a molecule of CH$_3$COCHO and replaced them with double bond, we can deduce the structure of monomer A.

The structure of monomer A we got is the structure of isoprene. Therefore, monomer A is isoprene.
(B) The isoprene is a monomer for natural rubber.

To write the “all $cis$” form of the polymer of monomer A that is isoprene, we need to write the structure of polymer such that the identical groups present across double bonds should lie in the same plane.
The “all $cis$” for of the polymer is shown below.

Final Answer

Hints:
The ozonolysis eliminates the double or triple bond from the molecule and replace it with carbonyl groups. The removal of oxygen atoms and replacing it with double bonds will give the structure of monomer A.