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.
Read the first 7 Math-Science Cross-Curricular Lessons flashcards as text
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.
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.
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.
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.
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.
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.
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.