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Current Question (ID: 18168)

Question:
$\text{The voltage of the cell given below increases with:}$ $\text{Cell: Sn(s) + 2Ag}^+(\text{aq}) \rightarrow \text{Sn}^{2+}(\text{aq}) + 2\text{Ag}(\text{s})$
Options:
  • 1. $\text{Increase in size of the silver rod.}$
  • 2. $\text{Increase in the concentration of Sn}^{2+} \text{ ions.}$
  • 3. $\text{Increase in the concentration of Ag}^+ \text{ ions.}$
  • 4. $\text{None of the above.}$
Solution:
$\text{HINT: Nernst equation: } E_{\text{cell}} = E^{\circ}_{\text{cell}} + \frac{0.059}{2} \log \frac{[\text{Ag}^+]^2}{[\text{Sn}^{2+}]}$ $\text{STEP 1: Nernst equation of the Cell: Sn(s) + 2Ag}^+(\text{aq}) \rightarrow \text{Sn}^{2+}(\text{aq}) + 2\text{Ag}(\text{s})$ $\text{can be written as:}$ $E_{\text{cell}} = E^{\circ}_{\text{cell}} + \frac{0.059}{2} \log \frac{[\text{Ag}^+]^2}{[\text{Sn}^{2+}]}$ $\text{STEP: Emf of } E_{\text{cell}} \text{ will increase if [Ag}^+] \text{ increases.}$ $\text{So, option 3 is the correct answer.}$

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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
}