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What is the formula for calculating EER?

4 min read

According to the National Academies, the Estimated Energy Requirement (EER) is a crucial metric for estimating daily caloric needs based on a person's age, weight, height, gender, and physical activity. The specific formula for calculating EER varies significantly depending on whether you are assessing human energy needs or evaluating the efficiency of a cooling appliance like an air conditioner.

Quick Summary

This guide covers the distinct formulas for calculating Estimated Energy Requirement (EER) for human caloric intake and the Energy Efficiency Ratio (EER) for HVAC units. It details the variables involved in each calculation and provides a straightforward comparison to help clarify the differences.

Key Points

  • Two Meanings: EER has two distinct meanings: Estimated Energy Requirement (nutrition) and Energy Efficiency Ratio (HVAC).

  • Human EER Formula: The Estimated Energy Requirement is calculated using a complex formula incorporating age, gender, weight, height, and a physical activity coefficient.

  • HVAC EER Formula: The Energy Efficiency Ratio for air conditioners is a simple division of cooling output (BTU/hr) by power input (watts).

  • Key Variables (Nutrition): The nutritional formula depends heavily on a person's age, gender, and level of physical activity to estimate daily caloric needs.

  • Key Variables (HVAC): The HVAC formula is based on specific, peak-load conditions, typically a 95°F outdoor temperature, to assess efficiency.

  • Higher Is Better (HVAC): A higher Energy Efficiency Ratio for an appliance indicates greater efficiency, meaning it uses less power for the same amount of cooling.

  • Formula for Men (19+): The male Estimated Energy Requirement formula is: $662 - (9.53 \times A) + PA \times [(15.91 \times W) + (539.6 \times H)]$.

  • Formula for Women (19+): The female Estimated Energy Requirement formula is: $354 - (6.91 \times A) + PA \times [(9.36 \times W) + (726 \times H)]$.

  • PA Coefficient: The physical activity (PA) coefficient is a multiplier based on the intensity of one's daily routine, from sedentary to very active.

In This Article

Understanding the EER Calculation for Human Energy Needs

When calculating the Estimated Energy Requirement (EER) for human nutrition, the formula is used to determine the average daily energy intake needed to maintain a healthy body weight. The equations differ significantly based on gender, with slight variations for age and life-stage groups, such as pregnancy and lactation. The variables in the formula include your age (A), weight (W) in kilograms, height (H) in meters, and a physical activity coefficient (PA).

The Formulas for Adults (19 years and older)

For men, 19 years and older: $EER(kcal/day) = 662 - (9.53 \times A) + PA \times [(15.91 \times W) + (539.6 \times H)]$

For women, 19 years and older: $EER(kcal/day) = 354 - (6.91 \times A) + PA \times [(9.36 \times W) + (726 \times H)]$

Determining the Physical Activity (PA) Coefficient

The PA coefficient is a key component that accounts for an individual's level of physical exertion throughout the day. It is assigned a numerical value based on a scale ranging from sedentary to very active.

  • Sedentary: PA = 1.0 (equivalent to a typical desk job with no planned exercise)
  • Low Active: PA = 1.11 (males), 1.12 (females) (includes light exercise or walking)
  • Active: PA = 1.25 (males), 1.27 (females) (involves moderate exercise)
  • Very Active: PA = 1.48 (males), 1.45 (females) (demands intense daily exercise)

An Example of EER Calculation for an Adult

To illustrate, let's calculate the EER for a 30-year-old active woman who is 1.7 meters tall and weighs 65 kilograms.

$EER = 354 - (6.91 \times 30) + 1.27 \times [(9.36 \times 65) + (726 \times 1.7)]$ $EER = 354 - 207.3 + 1.27 \times [608.4 + 1234.2]$ $EER = 146.7 + 1.27 \times [1842.6]$ $EER = 146.7 + 2340.1$ $EER = 2486.8 kcal/day$

This calculation provides an estimate of her daily caloric needs. It is important to note that individual energy requirements can still vary, and monitoring body weight over time remains the best indicator of true energy balance.

The EER Formula for HVAC Appliances

The Energy Efficiency Ratio (EER) is also used in the HVAC industry to measure the cooling efficiency of air conditioners and heat pumps. In this context, EER represents the ratio of the cooling output (in British Thermal Units, BTU) to the power input (in watts). Unlike Seasonal Energy Efficiency Ratio (SEER), which averages performance over a season, EER is measured at a specific set of conditions: typically 95°F outdoor temperature, 80°F indoor temperature, and 50% relative humidity.

The Formula for HVAC Efficiency

The formula for calculating EER for an appliance is simple and direct:

$EER = \text{Cooling Output (BTU/hour)} \div \text{Power Input (watts)}$

An Example of EER Calculation for an Air Conditioner

Consider an air conditioner with a cooling capacity of 12,000 BTU/hour that consumes 1,200 watts of electricity.

$EER = 12,000 \div 1,200 = 10$

A higher EER rating indicates a more efficient appliance, meaning it uses less energy to produce the same amount of cooling.

Comparison: EER for Nutrition vs. EER for HVAC

While both use the acronym EER, their contexts and calculations are completely different. The following table summarizes the key distinctions:

Feature EER for Human Energy Needs EER for HVAC Appliances
Stands for Estimated Energy Requirement Energy Efficiency Ratio
Purpose To estimate the daily caloric needs for an individual to maintain body weight. To measure the cooling efficiency of an appliance under specific conditions.
Variables Age, gender, height, weight, physical activity level. Cooling output (BTU/hr), power input (watts).
Result Metric Kilocalories per day (kcal/day). Unitless ratio (often expressed as BTU/W).
Context Nutritional planning, weight management, and public health guidelines. Appliance specifications, purchasing decisions, and energy usage comparisons.
Complexity Varies by age, gender, and life stage, requiring multiple variables. A simple, two-variable division calculation.
Data Source Individual's biological metrics and lifestyle assessment. Standardized testing under controlled environmental conditions.

Conclusion

The term EER has two vastly different applications, one in the field of human health and nutrition and another in evaluating the efficiency of cooling appliances. The formula for calculating Estimated Energy Requirement (EER) for a person is a complex, multi-variable equation that factors in biometrics like age, gender, height, and weight, along with physical activity level. In contrast, the Energy Efficiency Ratio (EER) for HVAC is a straightforward calculation that divides cooling output by power consumption to determine how efficiently a unit operates under specific peak conditions. Understanding the appropriate context is crucial for correctly interpreting this metric, whether you're managing your diet or shopping for a new air conditioner. For consumers, a higher HVAC EER translates to lower energy bills and a smaller carbon footprint over the long term.

Sources

  • Canada.ca. (2023, December 18). Dietary reference intakes tables: Equations to estimate energy requirement.
  • WallStreetMojo. (2023, November 22). Energy Efficiency Ratio (EER) - Definition, Formula, Examples.
  • Airedale Cooling Services. (2016, April 27). What is Energy Efficiency Ratio (EER)?.
  • BDC. (2024, December 17). What is the energy efficiency ratio?.
  • Ventwerx. (2019, May 17). What Is The Energy Efficiency Ratio (EER) in Air Conditioning?.
  • National Institutes of Health (NIH). (2023, January 17). Summary - Dietary Reference Intakes for Energy.
  • National Institutes of Health (NIH). (2019, June 3). Validity of the dietary reference intakes for determining energy ....
  • NKF Malaysia. (n.d.). Estimated Energy Requirement (EER).
  • National Academies Press. (2023). Dietary Reference Intakes for Energy.

Frequently Asked Questions

In health and nutrition, EER stands for Estimated Energy Requirement, which is the average daily dietary energy intake predicted to maintain energy balance in a healthy adult of a specific age, gender, weight, height, and physical activity level.

To calculate the Energy Efficiency Ratio (EER) for an air conditioner, you divide its cooling capacity in British Thermal Units per hour (BTU/h) by the power it consumes in watts (W).

EER (Energy Efficiency Ratio) measures an AC unit's efficiency at a single, specific operating temperature (peak load), while SEER (Seasonal Energy Efficiency Ratio) measures efficiency over an entire cooling season with varying temperatures.

The formulas for Estimated Energy Requirement are different for men and women because of fundamental physiological differences, such as average body composition, which affect metabolic rates and overall energy expenditure.

The physical activity (PA) coefficient is a numerical value used in the nutritional EER formula to represent a person's average level of physical activity. It typically ranges from 1.0 (sedentary) to higher values for more active lifestyles.

Yes, a higher EER for an air conditioner is better. It indicates that the unit is more energy-efficient, meaning it can provide more cooling power for the same amount of electricity consumed.

The nutritional EER formula is designed to calculate the caloric intake needed to maintain your current weight. To achieve weight loss, you would need to consume fewer calories than your calculated EER or increase your physical activity level.

Medical Disclaimer

This content is for informational purposes only and should not replace professional medical advice.