Which of the following semi-quantitative indices can be used to gain a relative understanding of the magnitude of process hazards?

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The Dow Fire and Explosion Index (DFEI) is specifically designed to assess the potential for fire and explosion hazards in industrial settings. It provides a systematic approach for evaluating and classifying the hazards associated with processes. By using this index, safety professionals can obtain a semi-quantitative measure that enables them to compare the severity of various process hazards relative to one another. This can be critical in prioritizing safety interventions and resources effectively.

In contrast, the Chemical Engineering Plant Cost Index deals primarily with financial aspects such as cost trends in chemical engineering projects, which does not provide insight into process hazards. Similarly, the Dow Jones Industrial Average Index focuses on stock market performance and economic indicators, rather than assessing industrial safety hazards. Therefore, these indices do not offer any relevant measurement of process hazards.

Utilizing the Dow Fire and Explosion Index allows for a focused and practical application in understanding and managing the risks associated with process safety, making it the most relevant choice among those listed.