A calorimeter that measures an exothermic heat of reaction by the quantity of ice that can be melted is called an ice calorimeter. Now consider that 0.100 L of methane gas, CH₄(g), at 25.0 °C and 744 mmHg, is burned at constant pressure in air. The heat liberated is captured and used to melt 9.53 g ice at 0 °C (Δ_fusH of ice = 6.01 kJ/mol₂.

(a) Write an equation for the complete combustion of CH₄, and show that combustion is incomplete in this case.

(b) Assume that CO(g) is produced in the incomplete combustion of CH₄, and represent the combustion as best you can through a single equation with small whole numbers as coefficients. (H₂O(l) is another product of the combustion.)