Import Question JSON

Current Question (ID: 7353)

Question:

$\text{Mark the species among the following that contains the highest number of atoms:}$

Options:

1. $\text{4 g He}$
2. $\text{46 g Na}$
3. $\text{0.40 g Ca}$
4. $\text{12 g He}$

Solution:

$\text{Hint: 1 mol of an element is equal to it atomic mass}$\n\n$\text{Step 1:}$\n\n$\text{For comparing number of atoms, first we calculate the moles as all are monoatomic and hence,}$\n\n$\text{moles} \times \text{N}_A = \text{number of atoms.}$\n\n$\text{Step 2:}$\n\n$\text{Calculate the moles of given elements as follows:}$\n\n$\text{Moles of 4 g He} = \frac{4}{4} = 1 \text{ mol}$\n\n$\text{46 g of Na} = \frac{46}{23} = 2 \text{ mol}$\n\n$\text{0.40 g Ca} = \frac{0.40}{40} = 0.1 \text{ mol}$\n\n$\text{12 g He} = \frac{12}{4} = 3 \text{ mol}$\n\n$\text{Hence, 12 g He contains greater number of atoms as it possesses maximum number of moles.}$

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
}