Final answer:
The change in enthalpy for the combustion of methane in kJ/mol CH4 is 890.4 kJ/mol.
Step-by-step explanation:
To calculate the change in enthalpy for the combustion of methane, we need to first convert the mass of methane to moles. The molar mass of methane (CH4) is 16.04 g/mol, so 2.5 g of methane is equal to 2.5 g / 16.04 g/mol = 0.156 mol. Then, we can use the given heat produced (139 kJ) and the number of moles of methane to calculate the change in enthalpy per mole of methane.
ΔErxn = Heat produced / Moles of methane = 139 kJ / 0.156 mol = 890.4 kJ/mol
Therefore, the change in enthalpy for the combustion of methane in kJ/mol CH4 is 890.4 kJ/mol.