Answer : To calculate the heat of decomposition for the reaction,
[tex]2H _{2} O_{2} ----\ \textgreater \ 2H_{2} O + O_{2} [/tex], in this reaction there are two moles of peroxide reacting to give 2 moles of water and 1 mole of oxygen.
Also the given weight of peroxide is 785 kg which we need to convert into moles. Molecular weight of peroxide is approximately 34 g/ mol.
So in moles the mol wt of peroxide will be, 785 (1000g/1Kg) X (1 mol/34 g) = 23088.2 mol
Therefore now on solving we get,
23088.2 mol of peroxide X (-196.1 KJ/2 mol of peroxide) = -2263798.01 KJ o heat.
Hence, the heat of decomposition will be -2263798.01 KJ.