Lecture Notes: Units of Measurement, Temperature, and Energy
Overview of Units of Measurement
Definition and significance of units of measurement in calculations.
Major types of measurement systems: English, metric, and International System of Units (SI).
Review of mass (grams), distance (meters), and volume (liters).
Temperature Measurement
Units of temperature:
English system: Degrees Fahrenheit (°F)
Metric system: Degrees Celsius (°C or Centigrade)
SI system: Kelvin (K)
Conversions between Celsius and Kelvin:
Formula for conversion:
From Celsius to Kelvin: (K = °C + 273)
From Kelvin to Celsius: (°C = K - 273)
Practical application of temperature in lab: Use Celsius and Kelvin only; no need to convert between Fahrenheit and Celsius.
Example conversion: 303 K to °C:
Calculation: (303 - 273 = 30) °C
Energy Measurement
Units of energy:
Metric system: Calorie
English system: British Thermal Units (BTUs)
SI system: Joule (J)
Definition of calorie:
One calorie is the amount of energy required to raise the temperature of 1 gram of water by 1°C.
Important distinction:
Nutritional calories (Cal) defined as 1 kcal = 1,000 scientific calories.
Nutritional calorie example: 60 kcal in a slice of bread.
Specific Heat Capacity
Specific heat:
Different substances require different amounts of energy to raise their temperatures.
Example comparisons:
Water: 1 calorie/g/°C
Requires 1 calorie to raise 1 g of water from 14°C to 15°C.
Copper: 0.09 calories/g/°C
Requires less energy compared to water.
Calorimetry and Energy Measurement
Calorimeter usage:
Device used to measure calories by burning food and measuring the temperature change in surrounding water.
Calculating heat absorption:
Heat absorbed by water calculated using:
Q = m imes c imes riangle T
Where:
Q = heat absorbed (calories)
m = mass of water (g)
c = specific heat of water (1 cal/g/°C)
riangle T = temperature change (°C)
Example: Calculate calories absorbed by 135 g of water changing temperature from 21.5°C to 38.8°C:
riangle T = 38.8 - 21.5 = 17.3°C
Calculation: Q = 135 g imes 1 cal/g/°C imes 17.3°C = 2335.5 ext{ calories}
Significant figures: Round 2335.5 to 2336 calories or 2.336 kcal.
Nutrition and Energy Yield in Foods
Energy content in macronutrients:
Protein: 4 kcal/g
Carbohydrates: 4 kcal/g
Fats: 9 kcal/g
Example calculation for a piece of salmon with:
Protein: 51 g
Fat: 15 g
51 g imes 4 rac{kcal}{g} = 204 ext{ kcal}
15 g imes 9 rac{kcal}{g} = 135 ext{ kcal}
Total energy = 204 + 135 = 339 kcal
Classification of Matter
Elements: Simplest forms of matter (e.g., hydrogen, oxygen), listed by chemical symbols (1-2 letter abbreviations).
Pure substances: Atoms (e.g., hydrogen) and compounds (e.g., water) as defined by distinct properties and composition.
Mixtures:
Homogeneous mixtures: Uniform composition (e.g., Gatorade).
Heterogeneous mixtures: Distinguishable components (e.g., sand and water).
Physical vs. Chemical Changes
Physical changes: Do not alter the chemical structure (e.g., ice melting to water).
Chemical changes: Involve chemical reactions altering the substance's composition (e.g., rusting of iron).
Examples of changes in water: solid (ice) to liquid (water) to gas (water vapor); always remains H2O.
Summary Points
Distinguish between specific heat as a property of substances.
Use calorimetry for measuring energy content in food.
Convert between types of energy measurements (calories to kilocalories and nutritional calories).
Understand the classification and definitions of elements and compounds in the periodic table, along with simplifications in energy understanding in nutrition.