JEE Main202325 Jan 2023Evening ShiftChemistryThermodynamics (C)Actual
28 . 0 L of CO 2 is produced on complete combustion of 16 . 8   L gaseous mixture of ethene and methane at 25 ° C and 1 atm. Heat evolved during the combustion process is kJ Given : ΔH C CH 4 = - 900   kJ   mol - 1 ΔH C C 2 H 4 = - 1400   kJ   mol - 1 .
Correct answer
847
Step-by-step solution
Complete combustion of ethene and methane mixture produces carbon dioxide. Let, Volume of C 2 H 4 is x litre C 2 H 4 + 3 O 2 → 2 CO 2 + 2 H 2 O Initial volume of carbon dioxide 0 Final volume of carbon dioxide 2 x CH 4 + 2 O 2 → CO 2 + 2 H 2 O Initial volume of carbon dioxide is 0 Final volume of carbon dioxide is ( 16 . 8 - x ) Total volume of CO 2 = 2 x + 16 . 8 - x ⇒ 28 = 16 . 8 + x x = 11 . 2   L n CH 4 = PV RT = 1 × 5 . 6 0 . 082 × 298 = 0 . 229   mole n C 2 H 4 = 11 . 2 0