J.R. S. answered 10/07/21
Ph.D. University Professor with 10+ years Tutoring Experience
Yes, your answer is correct.
CH4 + 2O2 → CO2 + H2O + 803.1 kJ NOT BALANCED
CH4 + 2O2 → CO2 + 2H2O + 803.1 kJ BALANCED
As written, the equation tells us that 803.1 kJ of heat is generated for every ONE mole of CH4 that is combusted.
mols CH4 used = 2.0x101 g = 20 g x 1 mol CH4/16 g = 1.25 mols CH4
1.25 mols CH4 x 803.1 kJ/mol = 1004 kJ = 1000 kJ = 1x103 kJ (Answer C)