Answer: 16.7 KJ of heat
Step-by-step explanation:
The heat required to melt the popsicle can be calculated using the equation:
q = nΔH
where q is the heat required, n is the number of moles of the substance being melted, and ΔH is the enthalpy of fusion.
To find the number of moles of the popsicle, we need to divide the mass by the molar mass:
n = m/M
where m is the mass of the popsicle and M is the molar mass. Since the popsicle has the same molar mass as water (18.0 g/mol), we have:
n = 50.0 g / 18.0 g/mol = 2.78 mol
The enthalpy of fusion of water is 6.01 kJ/mol, so we can calculate the heat required as:
q = nΔH = 2.78 mol x 6.01 kJ/mol = 16.7 kJ
Therefore, 16.7 kJ of heat are required to melt a 50.0-g popsicle at 0°C.