Import Question JSON

Current Question (ID: 8136)

Question:

$\text{The curve that can not represent Boyle's law is -}$

Options:

1. $\text{A curve showing P inversely proportional to V (hyperbola)}$
2. $\text{A straight line graph of log P vs log V with a negative slope}$
3. $\text{A straight line graph of P vs V with a negative slope}$
4. $\text{A horizontal line graph of PV vs P}$

Solution:

\text{Hint: Boyle's Law states that } P \propto \frac{1}{V} \text{A. Graph of P vs V is not a straight line.} \text{B. The equation is } P = k \cdot \frac{1}{V} \text{Taking log both sides,} \log P = \log k - \log V \text{D. } PV = k \text{ (constant)} \text{PV will not change with P or V.} \text{The third graph is wrong because P and V graph cannot be straight line with negative slope.}

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
}