Import Question JSON

Current Question (ID: 18325)

Question:

$\text{Consider the Arrhenius equation given below and choose the correct option:}$ $k = Ae^{-\frac{E_a}{RT}}$

Options:

1. $\text{Rate constant increases exponentially with increasing activation energy and decreasing temperature.}$
2. $\text{Rate constant decreases exponentially with increasing activation energy and increasing temperature.}$
3. $\text{Rate constant increases exponentially with decreasing activation energy and decreasing temperature.}$
4. $\text{Rate constant increases exponentially with decreasing activation energy and increasing temperature.}$

Solution:

$\text{HINT: Use Arrhenius equation.}$ $\text{Explanation:}$ $\text{According to Arrhenius equation } k = Ae^{-\frac{E_a}{RT}}$ $\text{Here, } k \propto e^{-E_a}$ $k \propto e^{-\frac{1}{T}}$ $\propto e^T$ $\text{which indicates that as activation energy decreases rate constant increases}$ $\text{and as the temperature increases the rate of reaction increases.}$ $\text{According to the Arrhenius equation, the rate constant increases}$ $\text{exponentially with decreasing activation energy and increasing temperature}$

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
}