Oxidation of succinate ion produces ethylene and carbon dioxide gases....
To solve this question, we need to calculate the total volume of gases produced during the oxidation of succinate ion.
**Given:**
- 0.2 Faraday of electricity is passed through the solution.
- Succinate ion is oxidized to produce ethylene and carbon dioxide gases.
- We need to calculate the total volume of gases at both the cathode and anode at STP (1 atm and 273 K).
**Solution:**
1. Calculate the moles of succinate ion:
- The succinate ion has a chemical formula of C4H4O4^2-.
- The molar mass of succinate ion is 4 * (12.01) + 4 * (1.008) + 4 * (16.00) = 118.09 g/mol.
- Let's assume the mass of succinate ion in the solution is 'm' grams.
- Therefore, the number of moles of succinate ion is m / 118.09.
2. Calculate the moles of electrons passed:
- The Faraday constant is 96485 C/mol.
- Given that 0.2 Faraday of electricity is passed, the number of moles of electrons passed is 0.2 * 96485.
3. Calculate the moles of ethylene and carbon dioxide produced:
- The balanced equation for the oxidation of succinate ion is:
C4H4O4^2- -> C2H4 + 2CO2 + 2e^-
- From the equation, we can see that 2 moles of succinate ion produce 1 mole of ethylene and 2 moles of carbon dioxide.
- Therefore, the number of moles of ethylene produced is (1/2) * (moles of succinate ion).
- And the number of moles of carbon dioxide produced is 2 * (moles of succinate ion).
4. Calculate the total volume of gases:
- The ideal gas equation is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.
- At STP, the pressure is 1 atm, the temperature is 273 K, and the gas constant is 0.0821 L.atm/(mol.K).
- The total volume of gases produced is (moles of ethylene + moles of carbon dioxide) * RT / P.
5. Substitute the values and calculate:
- The total volume of gases produced is ((1/2) * (moles of succinate ion) + 2 * (moles of succinate ion)) * 0.0821 * 273 / 1.
- Simplifying the expression, we get (5/2) * (moles of succinate ion) * 0.0821 * 273.
6. Substitute the moles of succinate ion:
- The moles of succinate ion is m / 118.09.
- Therefore, the total volume of gases produced is (5/2) * (m / 118.09) * 0.0821 * 273.
7. Simplify the expression:
- The total volume of gases produced is (0.922 * m) / 118.09.
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