Q1 / 120 · VITEEE 2015 · Chemistry

When copper is treated with a certain concentration of nitric acid, nitric oxide and nitrogen dioxide are liberated in equal volumes according to the equation, $x \mathrm{Cu}+y \mathrm{HNO}_{3} \longrightarrow \mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2}+\mathrm{NO}$ $\quad+\mathrm{NO}_{2}+\mathrm{H}_{2} \mathrm{O}$ The coefficients of $x$ and $y$ are respectively

  • A
    2 and 3
  • Correct answer
    B
    2 and 6
  • C
    1 and 3
  • D
    3 and 8

Solution

Balanced equations are $3 \mathrm{Cu}+8 \mathrm{HNO}_{3} \longrightarrow 3 \mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2}+2 \mathrm{NO}+4 \mathrm{H}_{2} \mathrm{O}$ ...(i) $\mathrm{Cu}+4 \mathrm{HNO}_{3} \longrightarrow \mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2}+2 \mathrm{NO}_{2}+2 \mathrm{H}_{2} \mathrm{O}$ ...(ii) Here $\mathrm{NO}$ and $\mathrm{NO}_{2}$ are evolved in equal volumes, hence, on adding Eqs. (i) and (ii) $\begin{aligned} 4 \mathrm{Cu}+12 \mathrm{HNO}_{3} & \longrightarrow 4 \mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2} \\ &+2 \mathrm{NO}+2 \mathrm{NO}_{2}+6 \mathrm{H}_{2} \mathrm{O} \end{aligned}$ or $2 \mathrm{Cu}+6 \mathrm{HNO}_{3}$ $\longrightarrow 2 \mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2}+\mathrm{NO}+\mathrm{NO}_{2}+3 \mathrm{H}_{2} \mathrm{O}$ Hence, coefficients $x$ and $y$ of $C u$ and $\mathrm{HNO}_{3}$ are 2 and 6 respectively.

Hence, the correct answer is option: 'B'.

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