Subtopic: Processing of seeds, spices, fruits and vegetables
Question Statement:
Fresh tomato juice with $5.0\%$ total soluble solids ($^\circ\text{Brix}$) is concentrated in a vacuum pan to produce tomato paste of $30.0\;^\circ\text{Brix}$. The mass of tomato paste produced in kilograms from $1200\text{ kg}$ of fresh tomato juice is ________ (answer in integer).
Answer Key:
200
Step-by-Step Solution & Explanation
Solid mass balance across concentration:
$F \times x_F = P \times x_P$
Given:
• $F = 1200\text{ kg}$
• $x_F = 0.05$
• $x_P = 0.30$
$1200 \times 0.05 = P \times 0.30$
$60.0 = 0.30 P \implies P = \frac{60.0}{0.30} = 200\text{ kg}$