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What is the amount of heat generated in the complete combustion of 1 mole of methane gas (CH4) at constant pressure, assuming the standard enthalpy of formation of CH4 is -74.8 kJ/mol and the standard enthalpy of formation of CO2 is -393.5 kJ/mol?

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To calculate the heat generated in the complete combustion of 1 mole of methane gas  CH4 , we need to consider the balanced chemical equation for the combustion reaction:CH4  g  + 2 O2  g   CO2  g  + 2 H2O  l Now, we need to find the standard enthalpy of formation for water  H2O . The standard enthalpy of formation of H2O  l  is -285.8 kJ/mol.Next, we will use Hess's Law to calculate the heat generated  H  in the reaction:H = [  moles of products  standard enthalpy of formation of products ] - [  moles of reactants  standard enthalpy of formation of reactants ]H = [ 1  -393.5  +  2  -285.8 ] - [ 1  -74.8  +  2  0 ]Note that the standard enthalpy of formation for O2 is 0 because it is in its elemental form.H =  -393.5 - 571.6  -  -74.8 H = -965.1 + 74.8H = -890.3 kJ/molTherefore, the amount of heat generated in the complete combustion of 1 mole of methane gas  CH4  at constant pressure is -890.3 kJ/mol. The negative sign indicates that the reaction is exothermic, meaning heat is released during the combustion process.

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