A truck weighing 1600 kg uses natural gas as fuel. Natural gas is mainly methane, CH₄, and though it is normally a gas, it is stored in a tank as compressed liquid. Assume that the fuel is methane gas and that it burns completely in the engine to carbon dioxide gas and water vapor. What is the maximum work that 1.00 mol CH₄(g) can do if it burns at 25°C? What would be the maximum height that this truck could travel up a hill on 1.00 m₃ of liquid methane fuel? The density of liquid methane is 416 kg/m₃.