To determine the heat produced when burning 5.00 grams of methane, we first need to convert the mass of methane to moles. The molar mass of methane CH4 is 12.01 g/mol for carbon + 4 * 1.01 g/mol for hydrogen = 16.05 g/mol.Now, we can convert the mass of methane to moles:5.00 g CH4 * 1 mol CH4 / 16.05 g CH4 = 0.3115 mol CH4The enthalpy change H for the combustion of methane is given as -890.4 kJ/mol. This means that 890.4 kJ of heat is released when 1 mol of methane is burned. To find the heat produced when burning 0.3115 mol of methane, we can use the following equation:Heat produced q = moles of CH4 * H per mole of CH4q = 0.3115 mol CH4 * -890.4 kJ/mol CH4 = -277.4 kJTherefore, 277.4 kJ of heat is produced when burning 5.00 grams of methane at a constant pressure of 1 atm.