JEE MAIN - Chemistry (2021 - 27th August Morning Shift - No. 18)
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)
Answer
1125
Explanation
Moles of N in N, N - dimethylaminopentane = $$\left( {{{57.5} \over {115}}} \right)$$ = 0.5 mol
$$ \Rightarrow {C_7}{H_{17}}N + {{45} \over 2}CuO \to 7C{O_2} + {{17} \over 2}{H_2}O + {1 \over 2}{N_2} + {{45} \over 2}Cu$$
$${{{n_{CuO}}\,reacted} \over {\left( {{{45} \over 2}} \right)}} = {{{n_{{C_7}{H_{17}}N}}\,reacted} \over 1}$$
$$\Rightarrow$$ nCuO reacted = $$\left( {{{45} \over 2}} \right) \times 0.5 = 11.25$$
$$ \Rightarrow {C_7}{H_{17}}N + {{45} \over 2}CuO \to 7C{O_2} + {{17} \over 2}{H_2}O + {1 \over 2}{N_2} + {{45} \over 2}Cu$$
$${{{n_{CuO}}\,reacted} \over {\left( {{{45} \over 2}} \right)}} = {{{n_{{C_7}{H_{17}}N}}\,reacted} \over 1}$$
$$\Rightarrow$$ nCuO reacted = $$\left( {{{45} \over 2}} \right) \times 0.5 = 11.25$$
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