The standard heat of formation ( Δ f H 298 0 ) of ethane (in k J / m o l ), if the heat of combustion of…

The standard heat of formation (ΔfH2980) of ethane (in kJ/mol ), if the heat of combustion of ethane, hydrogen and graphite are –1560, –393.5 and –286 kJ/mol , respectively is .
  1. 192.5
  2. – 192.5
  3. 96.25
  4. +96.25

Solution

2C(graphite)+3H2(g)1C2H6+ΔHf(C2H6)
(A) C2H6+72O22CO2+3H2O
ΔHC=1560
(B) H2+12O2H2O
ΔHC=393.5
(C) C(graphite) +O2CO2
ΔHC=286kJ/mol
ΔHf(C2H6)=3(393.5)+2(286)+1560
=1180.5+(572)+1560
=192.5
2Cgraphite+3H2C2H6 (1) eqn
C2H6+72O22CO2+3H2O (2) eqn
H2+12O22CO2+3H2O (3) eqn
Cgraphite+H2OCO2 (4) eqn
To get equation (1) eqn (2) + 2 × eqn (3) 2 × eqn
Hf of ethane =1560+2×-286+3(-393.5)
=1560-572-1180.5=-192.5

Asked in: JEE-TOPICTESTS-CHEMISTRY

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