Import Question JSON

Current Question (ID: 7376)

Question:

$\text{Assertion (A):}$ $\text{1 a.m.u} = 1.66 \times 10^{-24} \text{ gram.}$ $\text{Reason (R):}$ $\text{The actual mass of one atom of C-12 is equal to } 1.99 \times 10^{-23} \text{ g.}$

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. $\text{(A) is False but (R) is True.}$

Solution:

$\text{Hint: 1 mole C-12 is 12 g}$ $1 \text{ mole C-12} = 12 \text{ g}$ $1 \text{ mole} = 6.022 \times 10^{23} \text{ atoms}$ $6.022 \times 10^{23} \text{ atoms} = 12 \text{ g}$ $1 \text{ atom} = \frac{12}{6.022 \times 10^{23}}$ $1 \text{ atom amount} = 1.99 \times 10^{-23}$ $1 \text{ a.m.u} = 1.66 \times 10^{-24} \text{ gram.}$ $\text{It is also true.}$ $\text{Hence, both Assertion & Reason are true and the reason is the correct explanation of the assertion.}$

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
}