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JEE Main 202224 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
24 June
Shift
Evening Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Main 2022 · 24 June · Evening Shift · Chemistry · Thermodynamics (C)

At 25 ° C and 1 atm pressure, the enthalpies of combustion are as...

At 25°C25 ° C and 11 atm pressure, the enthalpies of combustion are as given below:

Substance H2{H}_{2} CC (graphite) C2H6(g){C}_{2}{H}_{6}\left(g\right)
ΔcHΘkJmol−1\dfrac{{\Delta}_{c}{H}^{Θ}}{{kJmol}^{- 1}} −286.0- 286 . 0 −394.0- 394 . 0 −1560.0- 1560 . 0

The enthalpy of formation of ethane is

Options

  1. A+54.0kJmol−1+ 54 . 0kJ{mol}^{- 1}
  2. B−68.0kJmol−1- 68 . 0kJ{mol}^{- 1}
  3. C−86.0kJmol−1- 86 . 0kJ{mol}^{- 1}
  4. D+97.0kJmol−1+ 97 . 0kJ{mol}^{- 1}

Correct answer

C. −86.0kJmol−1- 86 . 0kJ{mol}^{- 1}

Step-by-step solution

Given

(i) C2H6(g)+72O2(g)⟶2CO2(g)+3H2O(l)ΔHcomb°=−1560.0kJ/mole{C}_{2}{H}_{6}\left(g\right) + \dfrac{7}{2}{O}_{2}\left(g\right) ⟶ 2{CO}_{2}\left(g\right) + 3{H}_{2}O\left(l\right){\Delta H}_{comb}^{°} = - 1560 . 0kJ / mole

(ii) C(s)+O2(g)⟶CO2(g)ΔHcomb°=−394.0kJ/moleC\left(s\right) + {O}_{2}\left(g\right) ⟶ {CO}_{2}\left(g\right){\Delta H}_{comb}^{°} = - 394 . 0kJ / mole

(ii) H2(g)+12O2(g)⟶H2O(g)ΔHcomb°=−286.0kJ/mole{H}_{2}\left(g\right) + \dfrac{1}{2}{O}_{2}\left(g\right) ⟶ {H}_{2}O\left(g\right){\Delta H}_{comb}^{°} = - 286 . 0kJ / mole

Target 2C(s)+3H2(g)⟶C2H6(g)ΔHrx°=ΔHf°(C2H6,g)2C\left(s\right) + 3{H}_{2}\left(g\right) ⟶ {C}_{2}{H}_{6}\left(g\right){\Delta H}_{rx}^{°} = {\Delta H}_{f}^{°}\left({C}_{2}{H}_{6}, g\right)

ΔHr°=ΔHc°(reactant)−ΔHc°(Product){\Delta H}_{r}^{°} = {\Delta H}_{c}^{°}\left(reactant\right) - {\Delta H}_{c}^{°}\left(Product\right)

=2×(−394)+3(−286)−(−1560)= 2 \times \left(- 394\right) + 3\left(- 286\right) - \left(- 1560\right)

=−788−858+1560= - 788 - 858 + 1560

=−86.0KJ/mole= - 86 . 0KJ / mole

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