Final answer:
The most likely vapor pressure for a 1.5M solution of sucrose at 75 °C would be less than 39 kPa, since adding sucrose lowers the vapor pressure of water.
Step-by-step explanation:
To determine the most likely vapor pressure for a 1.5M solution of sucrose at 75 °C, we need to consider the effect of the sucrose on the vapor pressure of water. Sucrose is a non-volatile solute, which means it does not have a significant vapor pressure. When a non-volatile solute is added to a solvent, such as water, the vapor pressure of the solvent decreases. Therefore, the most likely vapor pressure for the sucrose solution would be less than 39 kPa, since adding sucrose will lower the vapor pressure of the water.
Out of the given options, the most likely vapor pressure would be option A) 5 kPa as it is significantly lower than the vapor pressure of pure water at 75 °C.