Import Question JSON

Current Question (ID: 7469)

Question:

$\text{An ion with a mass number of 56 contains 3 units of positive charge and 30.4% more neutrons than electrons. The symbol of the ion is:}$

Options:

1. $^{56}_{26}\text{Fe}^{+3}$
2. $^{57}_{26}\text{Fe}^{+3}$
3. $^{58}_{27}\text{Fe}^{+3}$
4. $^{56}_{25}\text{Fe}^{+3}$

Solution:

$\text{Hint: Mass number = number of proton + number of neutron}$ $\text{Step 1:}$ $\text{Let the number of electrons present in ion A}^{3+} \text{ is x}$ $\text{Number of neutrons in it} = x + 30.4\% \text{ of } x = 1.304x$ $\text{Since the ion is tripositive,}$ $\text{Number of electrons in neutral atom} = x + 3$ $\text{Number of protons in neutral atom} = x + 3$ $\text{Step 2:}$ $\text{Given,}$ $\text{Mass number of the ion} = 56$ $x + 3 + 1.304x = 56$ $x = \frac{53}{2.304} = 23$ $\text{Number of protons} = x + 3 = 23 + 3 = 26$ $\text{So, the symbol of ion is } ^{56}_{26}\text{Fe}^{+3}$

Import JSON File

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
}