Import Question JSON

Current Question (ID: 8260)

Question:

\text{For the reaction:} \text{C}_3\text{H}_8(g) + 5\text{O}_2(g) \rightarrow 3\text{CO}_2(g) + 4\text{H}_2\text{O}(l) \text{ at constant temperature, }\Delta\text{H} - \Delta\text{E} \text{ is:}

Options:

1. $+ \text{RT}$
2. $- 3\text{RT}$
3. $+ 3\text{RT}$
4. $- \text{RT}$

Solution:

$\text{Hint: }\Delta\text{H} = \Delta\text{U} + \Delta n_g \text{RT}$ $\text{Step 1:}$ $\text{The formula is } \Delta\text{H} = \Delta\text{U} + \Delta n_g \text{RT}.$ $\text{Calculate the value of } \Delta n_g \text{ as follows:}$ $\Delta n_g = \{3 - (5 + 1)\}$ $\Delta n_g = -3$ $\text{Step 2:}$ $\Delta\text{H} = \Delta\text{U} + (-3)\text{RT}$ $\Delta\text{H} - \Delta\text{U} = -3\text{RT}$ $\text{Therefore, } \Delta\text{H} - \Delta\text{E} = -3\text{RT}$

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
}