Import Question JSON

Current Question (ID: 18840)

Question:

$\text{The metallic radii of some transition elements are given below. An element that has the highest density is:}$ $\begin{array}{cc} \text{Element} & \text{Fe} \quad \text{Co} \quad \text{Ni} \quad \text{Cu} \\ \text{Metallic radii/pm} & 126 \quad 125 \quad 125 \quad 128 \end{array}$

Options:

1. $\text{Fe}$
2. $\text{Ni}$
3. $\text{Co}$
4. $\text{Cu}$

Solution:

$\text{Cu has the highest density among the given options.}$ $\text{On moving left to right along the period, metallic radius decreases while mass increases.}$ $\text{Decrease in metallic radius coupled with an increase in atomic mass results in an increase in density of the metal.}$ $\text{Hence, among the given four choices Cu belongs to the right side of the Periodic Table in a transition metal,}$ $\text{It has the highest density (8.9 g/cm}^3\text{).}$ $\text{The value of density is as follows:}$ $\begin{array}{cc} \text{Density} & \text{Element} \\ 7.8 & \text{Fe} \\ 8.7 & \text{Co} \\ 8.91 & \text{Ni} \\ 8.96 & \text{Cu} \end{array}$

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Upload a JSON file containing LaTeX/MathJax formatted question, options, and solution.

Expected JSON Format:

{
  "question": "The mass of carbon present in 0.5 mole of $\\mathrm{K}_4[\\mathrm{Fe(CN)}_6]$ is:",
  "options": [
    {
      "id": 1,
      "text": "1.8 g"
    },
    {
      "id": 2,
      "text": "18 g"
    },
    {
      "id": 3,
      "text": "3.6 g"
    },
    {
      "id": 4,
      "text": "36 g"
    }
  ],
  "solution": "\\begin{align}\n&\\text{Hint: Mole concept}\\\\\n&1 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\text{ moles of carbon atom}\\\\\n&0.5 \\text{ mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6] = 6 \\times 0.5 \\text{ mol} = 3 \\text{ mol}\\\\\n&1 \\text{ mol of carbon} = 12 \\text{ g}\\\\\n&3 \\text{ mol carbon} = 12 \\times 3 = 36 \\text{ g}\\\\\n&\\text{Hence, 36 g mass of carbon present in 0.5 mole of } \\mathrm{K}_4[\\mathrm{Fe(CN)}_6].\n\\end{align}",
  "correct_answer": 4
}