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

Nylon 6,6 is a copolymer synthesized from two monomers: adipic acid (a dicarboxylic acid) and hexamethylenediamine (a diamine).

The carbylamine test is a characteristic chemical test for primary amines, where primary amines react with chloroform and ethanolic potassium hydroxide to produce foul-smelling carbylamines (isocyanides).

Between the two monomers, hexamethylenediamine (H₂N-(CH₂)₆-NH₂) contains primary amine groups and therefore gives a positive carbylamine test. Thus, monomer X is hexamethylenediamine.

From the molecular formula of hexamethylenediamine, we observe that each molecule contains 2 nitrogen (N) atoms. Therefore, 1 mole of monomer X contains 2 moles of nitrogen atoms.

In the Dumas method for the estimation of nitrogen, the organic nitrogen present in the compound is quantitatively converted to nitrogen gas (N₂).

Since 1 mole of X contains 2 moles of N atoms, it will evolve exactly 1 mole of N₂ gas:

$1\text{mole of X}\to 1\text{mole of}{N}_2$

Therefore, for 10 moles of monomer X, the number of moles of N₂ gas evolved is:

$\text{Moles of}{N}_2=10\text{moles}$

We are given that the atomic mass of nitrogen (N) is 14. The molar mass of diatomic nitrogen gas (N₂) is:

$\text{Molar mass of}{N}_2=2\times 14\text{g/mol}=28\text{g/mol}$

Now, we calculate the amount (in grams) of nitrogen gas evolved:

$\text{Mass of}{N}_2=\text{Number of moles}\times \text{Molar mass}$

Thus, the amount of nitrogen gas evolved is 280 grams.