Question

Which of the following expressions depicts the correct relation between X, Y and Z?
Where,
X = Total energy in the materials entering the processing plant
Y = The energy added in the plant
Z = The total energy leaving the plant

• A. X + Y > Z
• B. X + Y < Z
• C. X + Y = Z
• D. X - Y = Z

Hint:

Under steady-state conditions with no accumulation, Total Energy In ($X+Y$) must equal Total Energy Out ($Z$).

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Energy balance calculations in food engineering are governed by the First Law of Thermodynamics (Law of Conservation of Energy).

Step 2: Key Formula or Approach:
For a steady-state processing system, the general energy balance equation states:
\[\text{Total Energy In} = \text{Total Energy Out}\] where $\text{Total Energy In} = X + Y$ (energy in raw feed $X$ plus process utility energy added $Y$), and $\text{Total Energy Out} = Z$ (energy leaving in product streams, waste, and losses).

Step 3: Detailed Explanation:
Equating total input energy to total output energy gives:
\[X + Y = Z\]

Step 4: Final Answer:
Therefore, the correct relation is $X + Y = Z$.