Calculate the enthalpy of combustion of 1 mol decane, C10H22, (l), to form CO2 and H2O. ∆Hf0 for decane is —300.9 kJ/mol using the balanced chemical equation and Appendix Table B–14.

Respuesta :

The enthalpy of combustion of 1 mol decane, C10H22, (l), to form CO2 and H2O. ∆Hf0 for decane is —300.9 kJ/mol using the balanced chemical is -6777.9 Kj/mole

Explanation:

Balanced chemical equation for combustion of 1 mole of decane:

2[tex]C_{10}[/tex][tex]H_{22}[/tex]  + 31 [tex]O_{2}[/tex]  ⇒  20 C[tex]O_{2}[/tex]  + 22 [tex]H_{2}[/tex]O

∆H◦ = −300.9 KJ/mole

enthalpy of combustion of 1 mole decane =?

for 1 mole ∆H◦ = -[tex]\frac{300.9}{2}[/tex]

       for 1 mole ∆H◦  = - 150.45 KJ

Formula used:

∆H◦reaction of combustion =m. ∆H◦ (products) - n. ∆H◦ (reactants)

m = number of moles of product

n = number of moles of reactant.

from the table it is seen that,

∆H◦ for C[tex]O_{2}[/tex] = -393.5 kj/mole

∆H◦ for water = -285.8kj/mole

∆H◦ for oxygen = 0

∆H◦ for decane = -300.9 kj/mole

putting the values in the equation:

∆H◦ = 20(-393.5) + 22(-285.5) = 2(-300.9) +22(0)

       = -14151 = -601.8

        = -13555.8 kj

The value of enthalpy of reaction or combustion calculated is for 2 moles, hence for 1 mole

[tex]\frac{-13555.8}{2}[/tex]

= -6777.9 kJ