Import Question JSON

Current Question (ID: 8343)

Question:

\text{Select the correct option based on statements below:} \text{Assertion (A): Dissolution of sugar in water proceeds via an increase in entropy.} \text{Reason (R): Entropy decreases, when an egg is boiled hard.} \text{1. Both (A) and (R) are true and (R) is the correct explanation of (A).} \text{2. Both (A) and (R) are true but (R) is not the correct explanation of (A).} \text{3. (A) is true but (R) is false.} \text{4. Both (A) and (R) are false.}

Options:

1. $\text{Both (A) and (R) are true and (R) is the correct explanation of (A).}$
2. $\text{Both (A) and (R) are true but (R) is not the correct explanation of (A).}$
3. $\text{(A) is true but (R) is false.}$
4. $\text{Both (A) and (R) are false.}$

Solution:

$\text{Hint: On boiling an egg entropy increases}$ $\text{Let's analyze each statement:}$ $\textbf{Assertion (A):}$ $\text{Dissolution of sugar in water proceeds via an increase in entropy.}$ $\text{Analysis of (A):}$ $\text{When sugar dissolves in water, the ordered crystalline structure of solid sugar breaks down and the sugar molecules become dispersed throughout the water. This increases the disorder or randomness of the system, resulting in an increase in entropy. Therefore, assertion (A) is true.}$ $\textbf{Reason (R):}$ $\text{Entropy decreases, when an egg is boiled hard.}$ $\text{Analysis of (R):}$ $\text{When an egg is boiled, the proteins in the egg white and yolk undergo denaturation. During this process, the helical structure of proteins unfolds and becomes a more random coiled structure. This transition from an ordered helical structure to a more disordered random coil structure actually increases the entropy, not decreases it. Therefore, reason (R) is false.}$ $\text{Comparing with the given options:}$ $\text{- Assertion (A) is true: Dissolution of sugar in water does increase entropy}$ $\text{- Reason (R) is false: Boiling an egg increases entropy, not decreases it}$ $\text{Therefore, option 3 is correct: (A) is true but (R) is false.}$

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
}