An ice cube with a mass of 48.6 g at 0.0 ∘C is added to a glass containing 391 g of water at 45.0 ∘C . Determine the final temperature of the system at equilibrium. The specific heat capacity of water, s , is 4.184 J/g⋅∘C , and the standard enthalpy of fusion, Δ∘fus , of water is 6.01×103 J/mol . Assume that no energy is transferred to or from the surroundings.

Calculate the standard enthalpy of formation of liquid methanol, ch3oh(l), using the following information: c(graphite) + o2 latex: \longrightarrow ⟶ co2(g) latex: \delta δ h° = –393.5 kj/mol h2(g) + o2 latex: \longrightarrow ⟶ h2o(l) latex: \delta δ h° = –285.8 kj/mol ch3oh(l) + o2(g) latex: \longrightarrow ⟶ co2(g) + 2h2o(l) latex: \delta δ h° = –726.4 kj/mol