Difficulty: Easy
Correct Answer: 1–5
Explanation:
Introduction / Context:
Ball mills are ubiquitous in mineral processing and cement industries. Despite their versatility, they are energy-inefficient: only a small fraction of supplied power produces new surface area and specific breakage, while most becomes heat, liner/media friction losses, and nonproductive motion. Knowing the typical efficiency range guides energy audits and motivates alternatives (pre-crushing, classification, high-pressure grinding rolls).
Given Data / Assumptions:
Concept / Approach:
Energy balance and comminution theory indicate that most input power dissipates as heat and vibration. Practical efficiency for size reduction in ball mills is commonly reported in the low single digits. Hence, “order of magnitude” best matches the 1–5% range rather than higher values that would contradict well-established plant experience.
Step-by-Step Solution:
Identify the definition of efficiency (useful breakage work / total input).Recall benchmark values from plant energy surveys: low single-digit percentages.Match to the closest option: 1–5%.
Verification / Alternative check:
Energy benchmarking studies of milling circuits consistently show that classification improvements and pre-crushing offer major savings precisely because ball mill inherent efficiency is low (near a few percent).
Why Other Options Are Wrong:
40–50%, 75–80%, 90–95%: These would imply near-conservative systems, which is unrealistic for tumbling mills; such values are inconsistent with measured temperature rise and media losses.
Common Pitfalls:
Confusing motor efficiency (often >90%) with comminution efficiency (often <5%); these are very different metrics.
Final Answer:
1–5
Discussion & Comments