Import Question JSON

Current Question (ID: 18273)

Question:

$\text{Rate law for the reaction } A + 2B \rightarrow C \text{ is found to be}$ $\text{Rate} = k[\text{A}][\text{B}]$ $\text{If the concentration of reactant 'B' is doubled, keeping the concentration of A constant, then the value of the rate of the reaction will be:}$

Options:

1. $\text{The same.}$
2. $\text{Doubled.}$
3. $\text{Quadrupled.}$
4. $\text{Halved.}$

Solution:

$\text{Rate of reaction depends on the concentration of reactant.}$ $\text{Rate law can be written as}$ $\text{Rate} = k[\text{A}][\text{B}]$ $\text{The rate of reaction w.r.t B is of the first order.}$ $R_1 = k[\text{A}][\text{B}]$ $\text{When the concentration of reactant B' is doubled then calculate } R_2 \text{ as follows:}$ $R_1 = k[\text{A}][\text{B}]$ $R_2 = k[\text{A}][2 \text{B}]$ $\frac{R_1}{R_2} = \frac{1}{2}$ $R_2 = 2R_1$ $\text{Therefore, as the concentration of B is doubled keeping the concentration of A constant rate of reaction became doubled.}$

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
}