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Question

Diborane is a potential rocket fuel which undergoes combustion according to the reaction B2H6(g)+3O2(g)B2O3(s)+3H2O(g) From the following data, calculate the enthalpy change for the combustion of diborane.
  1. 2B(s)+(3/2)O2(g)B2O3(s) ΔH=1273KJ/mol
  2. H2(g)+(1/2)O2(g)H2O(1) ΔH=286KJ/mol
  3. H2O(l)H2O(g) ΔHs=44KJ/mol
  4. 2B(s)+3H2(g)B2H6(g) ΔH=36KJ/mol

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Solution

B2H6(g)+3O2(g)B2O3(s)+3H2O(g)
enthalpy change, ΔH=[ΔHB3O3(s)+3ΔHH2O(g)]ΔHB2O6(g)
( ΔH0f of O2=0)
ΔHH2O(g) can be obtained by adding 3HH2O(l) and ΔHH2O(g), i.e, 286+44=242 KJ/mole
ΔH=[1273+3(242)]36 KJ/mol =127372636=2035 KJ/mole.
enthalphy change for combustion of dibarance is 2035 KJmole.

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