Import Question JSON

Current Question (ID: 7422)

Question:

$\text{Which of the following is dependent on temperature?}$

Options:

1. $\text{Molarity}$
2. $\text{Mole fraction}$
3. $\text{Weight percentage}$
4. $\text{Molality}$

Solution:

$\text{Among the given concentration units:}$ $\text{1. Molarity (M) = } \frac{\text{moles of solute}}{\text{volume of solution (L)}}$ $\text{Since volume changes with temperature due to thermal expansion and contraction, molarity is temperature dependent.}$ $\text{2. Mole fraction = } \frac{\text{moles of component}}{\text{total moles}}$ $\text{This is independent of temperature as it involves only amounts of substance.}$ $\text{3. Weight percentage = } \frac{\text{mass of solute}}{\text{mass of solution}} \times 100$ $\text{This is independent of temperature as it involves only masses.}$ $\text{4. Molality (m) = } \frac{\text{moles of solute}}{\text{kg of solvent}}$ $\text{This is independent of temperature as it involves mass of solvent, not volume.}$ $\text{Therefore, only molarity is dependent on temperature.}$

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
}