Final answer:
The heat required to melt 25.7 g of solid methanol at its melting point is 2.59 kJ.
Step-by-step explanation:
To calculate the heat required to melt 25.7 g of solid methanol (CH3OH) at its melting point, we need to use the enthalpy of fusion (AH fus) for methanol. AH fus is given as 3.22 kJ/mol. First, convert the mass of methanol to moles by dividing 25.7 g by the molar mass of methanol, which is 32 g/mol. This gives us 0.80375 moles of methanol.
Now, we can calculate the heat required using the formula: heat = AH fus × moles. Substituting the values, heat = 3.22 kJ/mol × 0.80375 moles = 2.59 kJ.