Import Question JSON

Current Question (ID: 18034)

Question:
$\text{To minimize the painful effects accompanying deep sea diving, oxygen diluted with less soluble helium gas is used as breathing gas by the divers. This is an example of the application of:}$
Options:
  • 1. $\text{Raoult's law}$
  • 2. $\text{Henry's law}$
  • 3. $\text{Ideal gas Equation}$
  • 4. $\text{All of the above}$
Solution:
$\text{Hint: It is an explanation of Henry's law}$ $\text{Explanation:}$ $\text{It states that the partial vapour pressure of a gas is vapour phase (p) is directly proportional to the mole fraction of the gas(x) in the solution.}$ $\text{Mathematically, } p = K_h \times x$ $\text{where } K_h \text{ is Henry's law constant.}$ $\text{Applications of Henry's law:}$ $(1) \text{ To minimise the painful effects accompanying the decomposition of deep-sea divers, oxygen diluted with less soluble helium gas is used as breathing gas.}$ $(2) \text{ To increase the solubility of } \text{CO}_2 \text{ in soft drinks and soda water, the bottle is sealed under high pressure.}$

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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
}