Step 1: Concept Overview:
Ghee yield from milk is primarily determined by the milk's fat content. Buffalo milk is richer in fat than cow milk.
Step 2: Formula:
Estimate ghee yield based on milk's fat percentage and the conversion efficiency. Ghee is clarified butter (pure milk fat). The formula is:
\[ \text{Ghee Yield} \approx (\text{Weight of Milk}) \times (\text{Fat \%}) \times (\text{Recovery Efficiency}) \]
Step 3: Detailed Calculation:
1. Fat Content: Buffalo milk typically contains 6% to 8% fat, averaging around 7%.
2. Fat Mass Calculation: For 100 kg of buffalo milk at 7% fat:
\[ 100 \, \text{kg} \times \frac{7}{100} = 7 \, \text{kg of fat} \]
3. Ghee Recovery: Due to moisture and solids-not-fat (SNF) losses during clarification, not all fat converts to ghee. A typical recovery rate is 90-93%. Assuming a 92% recovery:
4. Ghee Yield Calculation:
\[ \text{Yield} = 7 \, \text{kg of fat} \times 0.92 \approx 6.44 \, \text{kg} \]
This result (6.44 kg) closely approximates 6.5 kg, making 6.5 kg the most suitable estimate for the yield.
Step 4: Conclusion:
The approximate ghee yield from 100 kg of buffalo milk is 6.5 kg.