Import Question JSON

Current Question (ID: 21020)

Question:
$\text{Lattice energy and enthalpy of the solution of NaCl are } 788 \text{ kJ mol}^{-1}$ $\text{and } 4 \text{ kJ mol}^{-1}, \text{ respectively. The hydration enthalpy of NaCl is:}$
Options:
  • 1. $-780 \text{ kJ mol}^{-1}$
  • 2. $-784 \text{ kJ mol}^{-1}$
  • 3. $780 \text{ kJ mol}^{-1}$
  • 4. $784 \text{ kJ mol}^{-1}$
Solution:
$\text{Hint: } \Delta H_{\text{solution}} = \text{Lattice energy} + \Delta H_{\text{hydration}}$ $\text{Step 1:}$ $\text{The formula of } \Delta H_{\text{solution}} \text{ is as follows:}$ $\Delta H_{\text{solution}} = \text{Lattice energy} + \Delta H_{\text{hydration}}$ $\text{The given values are as follows:}$ $\text{Lattice energy} = 788 \text{ kJ mol}^{-1}$ $\Delta H_{\text{solution}} = 4 \text{ kJ mol}^{-1}$ $\text{Step 2:}$ $\text{Calculate the value hydration enthalpy of NaCl as follows:}$ $4 = 788 + \Delta H_{\text{hydration}}$ $\Delta H_{\text{hydration}} = -784 \text{ kJ/mol}$

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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
}