Standard enthalpies of formation of ${\mathrm{CO}}_2, {\mathrm{H}}_2\mathrm{O} \mathrm{and} {\mathrm{C}}_2{\mathrm{H}}_4$ are -396 kJ/mole - 288 kJ/mole and +52 kJ/ mole respectively. Enthalpy of combustion of Ethene is 

Given

$\begin{array}{l}\mathrm{C}\left(\mathrm{s}\right)+{\mathrm{O}}_2\left(\mathrm{g}\right)\stackrel{ }{\to }{\mathrm{CO}}_2\left(\mathrm{g}\right);\mathrm{\Delta H}=-396\mathrm{kJ}\to \left(1\right)\\ {\mathrm{H}}_2\left(\mathrm{g}\right)+\frac{1}{2}{\mathrm{O}}_2\left(\mathrm{g}\right)\stackrel{ }{\to }{\mathrm{H}}_2\mathrm{O}\left(\mathrm{g}\right);\mathrm{\Delta H}=-288\mathrm{kJ}\to \left(2\right)\\ 2\mathrm{C}\left(\mathrm{s}\right)+2{\mathrm{H}}_2\left(\mathrm{g}\right)\stackrel{ }{\to }{\mathrm{C}}_2{\mathrm{H}}_4\left(\mathrm{g}\right);\mathrm{\Delta H}=+52\mathrm{kJ}\to \left(3\right)\end{array}$

Required

${\mathrm{C}}_2{\mathrm{H}}_4\left(\mathrm{g}\right)+3{\mathrm{O}}_2\left(\mathrm{g}\right)\stackrel{ }{\to }2{\mathrm{CO}}_2\left(\mathrm{g}\right)+2{\mathrm{H}}_2\mathrm{O}\left(\mathrm{l}\right);\mathrm{\Delta H}=?$

$2\times \mathrm{Eq}\left(1\right)+2\mathrm{Eq}\left(2\right)-\mathrm{Eq}\left(3\right)$

$\mathrm{\Delta H}=2\left(-396\right)+2\left(-288\right)-\left(+52\right)$

$=-792-576-52$

$=-1420\mathrm{kJ}/\mathrm{mole}$