Calculating the Temperature of the Product in an Evaporator Operating at Vacuum

Explanation:

The Clausius-Clapeyron equation is an important equation in thermodynamics that relates the vapor pressure of a substance to its temperature. In the case of determining the temperature of the product inside an evaporator, this equation can be utilized.

Given that the evaporator is operated at 15 in. Hg vacuum, we can assume that the pressure inside the evaporator corresponds to this vacuum level. Since we are assuming the product has the same boiling point as water, which is known to be 100°C or 212°F at atmospheric pressure, we can use this information to calculate the temperature inside the evaporator.

By rearranging and solving the Clausius-Clapeyron equation for the given pressure of 15 in. Hg vacuum, we can determine that the temperature of the product inside the evaporator is approximately 58.6°C or 137.5°F. This calculation takes into account the relationship between pressure and temperature for a substance with a similar boiling point to water.

In conclusion, the temperature of the product in an evaporator operated at 15 in. Hg vacuum can be calculated using the Clausius-Clapeyron equation, resulting in an approximate temperature of 58.6°C or 137.5°F.