Import Question JSON

Current Question (ID: 21082)

Question:

$\text{The correct expression for the following reaction is:}$ $\text{Fe}_2\text{N(s)} + \frac{3}{2}\text{H}_2\text{(g)} \rightleftharpoons 2\text{Fe(s)} + \text{NH}_3\text{(g)}$

Options:

1. $K_c = K_p(RT)$
2. $K_c = K_p(RT)^{-3/2}$
3. $K_c = K_p(RT)^{-1/2}$
4. $K_c = K_p(RT)^{1/2}$

Solution:

$\text{Hint: Use the formula, } K_p = K_c (RT)^{\Delta n_g}$ $\text{Step 1:}$ $\text{The reaction is as follows:}$ $\text{Fe}_2\text{N(s)} + \frac{3}{2}\text{H}_2\text{(g)} \rightleftharpoons 2\text{Fe(s)} + \text{NH}_3\text{(g)}$ $\text{The relation between } K_p \text{ and } K_c \text{ are as follows:}$ $K_p = K_c (RT)^{\Delta n_g}$ $\text{Step 2:}$ $\text{Calculate the value of } \Delta n_g \text{ as follows:}$ $\Delta n_g = 1 - \frac{3}{2}$ $= -\frac{1}{2}$ $\text{The relation is as follows:}$ $K_p = K_c (RT)^{-1/2}$ $K_c = K_p(RT)^{1/2}$

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
}