🍟

Exploring Heat Energy in Potato Chips

Dec 18, 2024

Measuring Heat Energy in a Potato Chip

Experiment Overview

  • Objective: Determine the heat energy present in a potato chip by burning it and measuring the heat absorbed by water.
  • Method: Burn the potato chip and capture the heat in a water container above it. Measure the temperature change of the water to infer the heat energy released by the chip.

Key Concepts

  • Heat Transfer: Heat is transferred from the burning potato chip to the water, raising the water's temperature.
  • Equation Used: ( Q = m \times C \times \Delta T )
    • Q: Heat absorbed by the water (calories)
    • m: Mass of the water (grams)
    • C: Specific heat of water (calories per gram per degree Celsius)
    • (\Delta T): Temperature change of water (degrees Celsius)

Calculation Steps

  1. Define Variables:
    • Mass of water (m): 150 grams (since 1 ml of water = 1 gram)
    • Initial Temperature: 21°C
    • Final Temperature: 85°C
    • Specific heat of water (C): 1 calorie/g°C
  2. Calculate Temperature Change ((\Delta T)):
    • ( \Delta T = 85°C - 21°C = 64°C )
  3. Calculate Heat Absorbed (Q):
    • ( Q = 150 \times 1 \times 64 = 9600 \text{ calories} )
  4. Convert to Food Calories:
    • 9600 small calories = 9.6 kilocalories (food calories)
    • Conversion: 1000 small calories = 1 kilocalorie

Determining Calories per Gram and Per Serving

  • Calories per Gram:
    • Mass of Potato Chip: 1.75 grams
    • Calculation: ( \frac{9.6 \text{ food calories}}{1.75 \text{ grams}} = 5.5 \text{ calories per gram} )
  • Calories Per Serving:
    • Serving Size: 34 grams
    • Calculation: 34 grams ( \times 5.5 \text{ calories per gram} = 190 \text{ calories} )
    • Package Value: 210 calories per serving

Percent Error Calculation

  • Formula: [ \text{Percent Error} = \frac{|\text{Actual Value} - \text{Measured Value}|}{\text{Actual Value}} \times 100% ]
    • Calculation: ( \frac{|210 - 190|}{210} \times 100% = 11% \text{ error} )

Discrepancies and Errors

  • Why Was There Error?
    • Not all the energy from the burning chip is absorbed by the water; some heat energy is lost to the surrounding air.
    • This results in a measured energy value that is lower than the actual energy content of the potato chip.