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Current Question (ID: 18327)

Question:
$\text{The relationship between temperature and the variance in reaction rate is:}$
Options:
  • 1. $\text{Graph 1: Linear increase of rate with temperature}$
  • 2. $\text{Graph 2: Exponential increase of rate with temperature}$
  • 3. $\text{Graph 3: Linear decrease of rate with temperature}$
  • 4. $\text{Graph 4: Exponential decrease of rate with temperature}$
Solution:
$\text{Use Arrhenius equation.}$ $\text{Explanation: } k = A \times e^{-E_a/RT}$ $\text{As temperature increases, } \frac{E_a}{RT} \text{ will decrease and } e^{-E_a/RT} \text{ will increase.}$ $\text{So } k \text{ will increase exponentially.}$ $\text{Thus, the rate increases with temperature but not directly.}$

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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
}