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
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In Dumas method, each mole of primary amine gives 1 mole of \( {N_2} \). Use molar mass of \( {N_2} \) to calculate weight.
Step 1: Analyze the monomer
Nylon 6,6 monomer that gives carbylamine test must contain –NH\(_2\) (primary amine).
In Dumas method, 1 mole of primary amine produces 1 mole of \( {N_2} \) gas.
Step 2: Moles of \( {N_2} \) formed
\[
10 \text{ moles of X} \Rightarrow 10 \text{ moles of } {N_2}
\]
Step 3: Mass of nitrogen gas
\[
\text{Molar mass of } {N_2} = 28 \, \text{g/mol}
\Rightarrow 10 \times 28 = \boxed{280 \, \text{g}}
\]