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  4. The number of moles of CuO, that will be utilized in Dumas method for estimation nitrogen in a sample of 57.5 g of N , N-dimethylaminopentane is × 10-2 .( Nearest integer )

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Q. The number of moles of $CuO$, that will be utilized in Dumas method for estimation nitrogen in a sample of $57.5\, g$ of $N , N$-dimethylaminopentane is ___ $\times 10^{-2} .($ Nearest integer $)$

JEE MainJEE Main 2021Organic Chemistry – Some Basic Principles and Techniques

Solution:

Moles of $N$ in $N,N$ - dimethylaminopentane
$=\left(\frac{57.5}{115}\right)=0.5$ mol
$\Rightarrow C _{7} H _{17} N +\frac{45}{2} CuO \rightarrow 7 CO _{2}+\frac{17}{2} H _{2} O +\frac{1}{2} N _{2}+\frac{45}{2} Cu$
$\frac{ n _{ CuO } \text { reacted }}{\left(\frac{45}{2}\right)}=\frac{ n _{ C _{7} H _{17} N } \text { reacted }}{1}$
$\Rightarrow n _{ CuO }$ reacted $=\left(\frac{45}{2}\right) \times 0.5=11.25$