Chapter 2B - Calculating energy using specific heat capacity of water
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Specific Heat Capacity
• the amount of energy required to raise the temperature of 1.00g of substance by 1.00°C or 1.00K • increase in heat capacity = more effective storage of heat energy
Process to determine experimental estimate of energy content
• fuel sample combusted w/ O₂ for a period of time • heat released in exothermic reaction heats a known mass of water sitting above the sample Once reaction is stopped measure: • temperature change of the water • mass of fuel combusted • calculate the energy absorbed by the water • calculate the energy content of the fuel
Limitations of this method
• low accuracy: large amounts of heat loss to the surroundings & water container (up to 90% loss) • mass of water being heated will change throughout experiment due to evaporation • not all fuels/foods are available in a form that can be safely & feasibly combusted
Calorimetry
• more accurate technique to estimate energy content of fuel/food
Calorimeter
• insulated reaction vessel designed to minimise amount of heat lost by water to the surroundings
Solution Calorimeter
• used to measure the enthalpy change for reactions that occur in solution • reactions can be endothermic or exothermic
Calibration Factor
• well-insulated calorimeter still loses some heat • CF accounts for this heat loss • energy (J) required to raise the temperature of water in calorimeter by 1 degree
Electrical Calibration
• Connect calorimeter containing the water to power supply • Turn power supply on & record voltage (V) in volts & current (I) in amps • After t seconds, turn power supply off & record change in temperature of water • Calculate energy (q) passed through the heating element of the calorimeter • Calculate the CF
Chemical Calibration
• Conduct an exothermic reaction w/ known enthalpy change & known quantity of fuel • Measure temperature change of water • Use stochiometry to calculate theoretical amount of energy released by the reaction • Calculate the CF
How to calculate the energy content of a reaction:
• Calculate experiment using calibration calorimeter • Measure temperature change of water • Calculate energy released using q=CF X ΔT • Calculate the enthalpy change of the reaction Volume of water/reaction solution in the calorimeter should be the same during the calibration process and the chemical reaction
Well-insulated Calorimeters
• little heat loss • temperature of contents decrease slowly
Poorly-Insulated Calorimeter
• temperature rise is less than in a well-insulated calorimeter • temperature of the contents decreases more rapidly
Temperature-time graph extrapolation
• poorly-insulated calorimeter: compensate for any heat loss • use adjusted ΔT value for CF calculations • leads to more accurate/reproducable results • more frequent temperature measurements produces more precise results