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

Given data : It is given to find the number of moles of CuO, that will be utilized in Dumas method for estimating nitrogen in a sample of 57.5 g of N,N-dimethylaminopentane is __ × 10^–2. (Nearest integer).

Explanation:

N,N-dimethylaminopentane is C₇H₁₇N, i.e. (CH₃)₂N-(CH₂)₄-CH₃.
The reaction would be as follows :
C₇H₁₇N + $\frac{45}{2}$CuO $\to$7 CO₂ + $\frac{17}{2}$H₂O + $\frac{1}{2}$N₂ + $\frac{45}{2}$Cu
Moles of nitrogen in the given compound = $\frac{Given Mass}{Molecular Mass } = \frac{57.5}{115}$mole = 0.5 mole
From the balanced chemical equation,
1 mole of C₇H₁₇N requires  = 22.5 mole of CuO
0.5 mole of C₇H₁₇N requires  = 22.5 * 0.5 mole of CuO = 11.25 = 1125 X 10^-2

Hence, the correct answer is 1125.