1.

Define enthalpy of fomration. Calculate Enthalpy of formation of C_(2)H_(6(g)) given the enthalpy of combustion of C_(2)H_(4(g))C_(2)H_(6(g)) and H_(2(g)) as -140 kg/mol , -1550kJ/mol and -286 kJ/mol respectively.

Answer»

SOLUTION :`C_(2)H_(4(g))+CO_(2)(g))to2CO_(3(g))+2H_(2)O_((g))""Delta_(C)H^(@)=140` kJ/mol …………1
`H_(2(g))+1/2O_(2(g))toH_(2)O_((g))""Delta_(c)H^(@)=-286` kJ/mol………….2
`C_(2)H_(6(g))+7/2O_(2(g))to2CO_(2(g))+3H_(2)O_((g))""Delta_(c)H^(@)=-1550` kJ/mol.......3
REquired equation
`C_(2)H_(4)(g)+H_(2)(g)toC_(2)H_(6)(g)""Delta_(f)H^(@)=?`
Reverse equation (3)
`2CO_(2)(g)+3H_(2)O(g)toC_(2)H_(6)(g)+7/2O_(2)(g)""Delta_(c)H^(@)=-1550` kJ/mol..........4
And equation 1,2and 4
`H_(2)(g)+1/2cancel(O_(2))(g)toH_(2)O(g)`
`C_(2)H_(4)+3cancel(O_(2))(g)to2CO_(2)(g)+2cancel(H_(2)O)(g)`
`2cancel(CO_(2))(g)+3H_(2)O(g)toC_(2)H_(6)(g)+7/2cancel(O_(2))(g)`
`C_(2)H_(4)(g)+H_(2)(g)toC_(2)H_(6)(g)`
`Delta_(f)H^(@)=15550` kJ/mol `-140` kJ/mol -286 kJ/mol
`Delta_(f)H^(@)=1124` kJ/mol


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