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Math-Science Cross-Curricular Lessons Flashcards

7 cards from real EMS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. A facility's energy intensity metric is expressed as GJ per unit of production. If output increases by 25% while total energy use stays constant, what happens to energy intensity?

    Answer: It decreases by 20%

    Intensity = Energy ÷ Output; if output rises 25% (×1.25) with constant energy, intensity = 1/1.25 = 0.8, a 20% decrease.

  2. An EMS auditor evaluates bioaccumulation potential using the bioconcentration factor (BCF). A substance has BCF = 5,000. This means the organism's tissue concentration is how many times greater than the water concentration?

    Answer: 5,000 times

    BCF is the ratio of the concentration in organism tissue to the concentration in surrounding water, so BCF = 5,000 means 5,000× concentration.

  3. A linear regression analysis of a facility's monthly water consumption (L) versus production units shows slope = 150 L/unit and y-intercept = 2,000 L. Predicted water use at 80 production units is:

    Answer: 14,000 L

    Water use = 150 × 80 + 2,000 = 12,000 + 2,000 = 14,000 L.

  4. The concept of eutrophication in a lake receiving agricultural runoff is primarily driven by which nutrient limiting photosynthesis under normal conditions?

    Answer: Phosphorus

    In freshwater systems, phosphorus is typically the limiting nutrient; excess phosphorus triggers algal blooms and eutrophication.

  5. An EMS internal auditor must verify that a facility's Scope 1 GHG emissions are correctly calculated. Scope 1 emissions from a natural gas boiler burning 500,000 m³/year with an emission factor of 2.0 kg CO₂e/m³ would be:

    Answer: 1,000 t CO₂e

    Emissions = 500,000 m³ × 2.0 kg/m³ = 1,000,000 kg = 1,000 metric tonnes CO₂e.

  6. During an air quality audit, an auditor applies the Gaussian plume dispersion model. Which parameter primarily determines the lateral spread (σy) of a pollutant plume?

    Answer: Atmospheric stability class and downwind distance

    In Gaussian dispersion, σy (lateral dispersion coefficient) is an empirical function of Pasquill-Gifford atmospheric stability class and downwind distance.

  7. A control chart used in EMS monitoring shows data points consistently above the mean but within control limits. This pattern most likely indicates:

    Answer: A systematic process shift requiring investigation

    In SPC, a run of 7 or more consecutive points above the mean signals a non-random systematic shift, even within control limits.