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Thermodynamics question

2013 · Q110
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Thermodynamics question

2013 · Q110

NEETChemistryThermodynamicsMCQ+4 / −1
When 5 litres of a gas mixture of methane and propane is perfectly combusted at 0oC and 1 atmosphere, 16 litres of oxygen at the same temperature and pressure is consumed, The amount of heat released from this combustion in kJ (Δ\DeltaΔHcomb. (CH4) = 890 kJ mol−-−1, Δ\DeltaΔHcomb. (C3H8) = 2220 kJ mol−-−1) is
  1. A
    38
  2. B
    317
  3. C
    477
  4. D
    32
View written solutionFree

Correct answer: B

CH4 + 2O2 →\to→ CO2 + 2H2O

C3H8 + 5O2 →\to→ 3CO2 + 4H2O

CH4 + C3H8 = 522.4=0.22{5 \over {22.4}} = 0.2222.45​=0.22 moles.

O2=1622.4=0.71{O_2} = {{16} \over {22.4}} = 0.71O2​=22.416​=0.71 moles

2x+(0.22×x)5=0.712x + (0.22 \times x)5 = 0.712x+(0.22×x)5=0.71

x = 0.13

Heat liberated = 0.13 ×\times× 890 + 0.09 ×\times× 2220 = 316 kJ

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