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Current Question (ID: 7348)

Question:
$\text{Which of the following combinations illustrates the law of reciprocal proportions?}$
Options:
  • 1. $\text{N}_2\text{O}_3, \text{N}_2\text{O}_4, \text{N}_2\text{O}_5$
  • 2. $\text{NaCl}, \text{NaBr}, \text{NaI}$
  • 3. $\text{CS}_2, \text{CO}_2, \text{SO}_2$
  • 4. $\text{PH}_3, \text{P}_2\text{O}_3, \text{P}_2\text{O}_5$
Solution:
$\text{Hint: Apply the law of reciprocal proportions}$\n\n$\text{The definition of the law of reciprocal proportions is: If two different elements combine separately with the same weight as a third element, the ratio of the masses in which they do so is either the same or a simple multiple of the mass ratio in which they combine.}$\n\n$\text{The CS}_2, \text{CO}_2, \text{and SO}_2 \text{follow law of reciprocal proportions.}$\n\n$\text{Let's examine the combining elements and their weights in these compounds:}$\n\n$\text{1. CS}_2\text{: Carbon (C) combines with Sulfur (S)}$\n\n$\text{ • Atomic weight of C = 12}$\n\n$\text{ • Atomic weight of S = 32}$\n\n$\text{ • Combining ratio: 12:64 (1:5.33)}$\n\n$\text{2. CO}_2\text{: Carbon (C) combines with Oxygen (O)}$\n\n$\text{ • Atomic weight of C = 12}$\n\n$\text{ • Atomic weight of O = 16 (32 for O}_2\text{)}$\n\n$\text{ • Combining ratio: 12:32 (1:2.67)}$\n\n$\text{3. SO}_2\text{: Sulfur (S) combines with Oxygen (O)}$\n\n$\text{ • Atomic weight of S = 32}$\n\n$\text{ • Atomic weight of O = 16 (32 for O}_2\text{)}$\n\n$\text{ • Combining ratio: 32:32 (1:1)}$\n\n$\text{Now the weight of S and O is combined in the ratio of 1:1.}$\n\n$\text{We can see that the ratio in which S and O combine together (1:1) is related to the ratios in which they separately combine with C. This illustrates the law of reciprocal proportions.}$\n\n$\text{Therefore, option 3 (CS}_2, \text{CO}_2, \text{SO}_2\text{) is the correct answer.}$

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{
  "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
}