Final answer:
The heat absorbed by the surface when the entirety of the isopropanol evaporates is 54.28 kJ.
Step-by-step explanation:
The heat absorbed by the surface when the entirety of the isopropanol evaporates can be calculated using the formula:
Heat absorbed (kJ) = moles of isopropanol x heat of vaporization (kJ/mol)
To find the moles of isopropanol, we need to convert the given mass of isopropanol (77.41g) to moles using the molar mass. The molar mass of isopropanol is 60.1g/mol.
Moles of isopropanol = mass of isopropanol (g) / molar mass of isopropanol (g/mol)
Once we have the moles of isopropanol, we can calculate the heat absorbed by multiplying it with the heat of vaporization of isopropanol (42.1 kJ/mol).
Calculation:
Moles of isopropanol = 77.41g / 60.1g/mol = 1.289 mol
Heat absorbed = 1.289 mol x 42.1 kJ/mol = 54.28 kJ
Therefore, the heat absorbed by the surface when the entirety of the isopropanol evaporates is 54.28 kJ.