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A ideal gaseous mixture of ethane and ethene occupies 28 litres at 1 atm and 273K. The mixture reacts completely with 128 gm O2 to produce CO2 and H2O. Mole fraction of C2H6 in the mixture is?
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A ideal gaseous mixture of ethane and ethene occupies 28 litres at 1 a...
Given information:

  • Volume of the gaseous mixture = 28 L

  • Pressure of the gaseous mixture = 1 atm

  • Temperature of the gaseous mixture = 273 K

  • 128 g of O2 reacts completely with the mixture to produce CO2 and H2O



Step 1: Calculate the number of moles of O2 present in the mixture

  • Molar mass of O2 = 32 g/mol

  • Number of moles of O2 = mass/molar mass = 128/32 = 4 moles



Step 2: Write the balanced chemical equation for the reaction between the gaseous mixture and O2

  • C2H6 + 3O2 → 2CO2 + 3H2O



Step 3: Calculate the number of moles of C2H6 present in the mixture

  • From the balanced chemical equation, 1 mole of C2H6 reacts with 3 moles of O2

  • Number of moles of C2H6 = (4/3) moles



Step 4: Calculate the number of moles of C2H4 present in the mixture

  • From the balanced chemical equation, 1 mole of C2H4 reacts with 1 mole of O2

  • Number of moles of O2 required to react with (4/3) moles of C2H6 = (4/3) x 3 = 4 moles

  • Number of moles of C2H4 produced = number of moles of O2 consumed = 4 moles



Step 5: Calculate the total number of moles of gas present in the mixture

  • Number of moles of C2H6 = (4/3) moles

  • Number of moles of C2H4 = 4 moles

  • Total number of moles of gas present = (4/3) + 4 = (16/3) moles



Step 6: Calculate the mole fraction of C2H6 in the mixture

  • Mole fraction of C2H6 = number of moles of C2H6/total number of moles of gas present

  • Mole fraction of C2H6 = (4/3)/(16/3) = 0.25



Therefore, the mole fraction of C2H6 in the gaseous mixture is 0.25. This means that 25% of the total number of moles of gas present in the mixture is C2H6.
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A ideal gaseous mixture of ethane and ethene occupies 28 litres at 1 a...
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A ideal gaseous mixture of ethane and ethene occupies 28 litres at 1 atm and 273K. The mixture reacts completely with 128 gm O2 to produce CO2 and H2O. Mole fraction of C2H6 in the mixture is?
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