Import Question JSON

Current Question (ID: 21425)

Question:

$\text{Which of the following option contains the correct graph between } \frac{\pi}{c} \text{ and } c \text{ at a constant temperature?}$ $\text{(Where } \pi \text{ is osmotic pressure and } c \text{ is a concentration of the solute)}$

Options:

1. $\frac{\pi}{c}$ $\text{ vs } c$ $\text{(horizontal line)}$
2. $\frac{\pi}{c}$ $\text{ vs } c$ $\text{(upward curve)}$
3. $\frac{\pi}{c}$ $\text{ vs } c$ $\text{(downward curve)}$
4. $\frac{\pi}{c}$ $\text{ vs } c$ $\text{(straight line)}$

Solution:

$\text{Hint: } \frac{\pi}{c} = \text{constant, at constant temperature.}$ $\text{The formula of osmotic pressure is as follows:}$ $\pi = CRT$ $\frac{\pi}{c} = RT \quad \text{.......(1)}$ $\text{Here R, and T are the constant.}$ $\frac{\pi}{c} = \text{constant}$ $\text{Thus, the graph between } \frac{\pi}{c} \text{ and C is constant. The graph is as follows:}$ $\text{(horizontal line)}$ $\text{Thus, an option first is the correct answer.}$

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
}