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Questions and Answers
What is the principle that allows the calculation of the specific heat of an object using a calorimeter?
What is the principle that allows the calculation of the specific heat of an object using a calorimeter?
In a calorimeter, what can be assumed if no heat is lost to the surroundings?
In a calorimeter, what can be assumed if no heat is lost to the surroundings?
What is the specific heat of the lead used in the given example?
What is the specific heat of the lead used in the given example?
Which measurement reflects the initial state of the water in the calorimeter example?
Which measurement reflects the initial state of the water in the calorimeter example?
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What is the expected outcome of placing a hot object in water within a calorimeter?
What is the expected outcome of placing a hot object in water within a calorimeter?
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Study Notes
Specific Heat
- A calorimeter is a lightweight insulated flask containing water, used to measure the specific heat of objects
- How it works: An object is placed in a calorimeter, allowing it to reach thermal equilibrium with the water. By analyzing the temperature changes of both the object and the water, you can calculate the specific heat of the object.
- Key Principle: Energy is conserved. This allows us to calculate the specific heat of the object in the calorimeter.
- Coffee-cup Calorimeter: A common type of calorimeter used under constant atmospheric pressure.
Heat Transfer in Calorimetry
- Energy Conservation: The energy absorbed inside the calorimeter must be equal to the energy released inside it, i.e., qabsorbed = - qreleased.
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Equation for Heat Transfer: q = m x C x ΔT where:
- q is the heat energy transferred
- m is the mass of the substance
- C is the specific heat of the substance
- ΔT is the change in temperature
Specific Heat Examples
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Example 1: A 75.0g piece of lead (specific heat = 0.130 J/g°C) initially at 435°C is placed in 125.0g of water at 23.0°C.
- The final temperature of the mixture will be 30.5°C.
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Example 2: A 97.0g sample of gold at 785°C is dropped into 323g of water at 15.0°C. Gold has a specific heat of 0.129 J/g°C.
- The final temperature of the mixture will be 22.1°C.
Homework Examples
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HW #2: 59.0g of water at 13.0°C is mixed with 87.0g of water at 72.0°C
- The final temperature of the system will be 48.2°C.
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HW #4: 240g of water initially at 20.0°C is mixed with an unknown mass of iron at 500.0°C (CFe = 0.4495 J/g°C). The final temperature is 42.0°C.
- The mass of the iron is 107g.
Cold Therapy
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Benefits:
- Decreases inflammation: Cold constricts blood vessels, reducing blood flow and inflammation.
- Slows joint fluid production: Excessive synovial fluid can contribute to swelling and discomfort.
- Distracts the brain from inflammation: Cold stimulates sensory receptors in the skin, decreasing pain signals to the brain.
- Application: Cold packs should be applied for no more than 20 minutes at a time, but can be repeated throughout the day.
Heat Therapy
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Primary Effects:
- Increased metabolism leading to blood vessel relaxation (vasodilation).
- Increased blood supply to cool down the heated area.
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Methods:
- Conductive: Direct application of heat through hot towels, heating pads.
- Radiation: Infrared lamps.
- Radio wave heating (Diathermy): Produces deep heating directly in tissues.
- Ultrasonic heating: Uses high-frequency sound waves to heat the tissue.
Ultrasonic Heating
- Mechanism: Unlike electromagnetic waves, ultrasonic waves cause mechanical vibration in tissues, increasing kinetic energy and leading to heating.
Energy Expenditure: Fat Loss
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Physical Activity:
- Example: A person wishing to lose 4.54kg of fat through physical activity will need to work at 15kcal/min for 2810 minutes (47 hours), assuming a maximum energy expenditure of 9.3kcal/g of fat.
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Dieting:
- Example: To lose 4.54kg of fat by reducing food intake, a person consuming 2500kcal/day will need to diet for 84.4 days.
Basal Metabolic Rate (BMR)
- Determination: BMR is determined by measuring oxygen consumption at rest.
- Use: Can be used to determine the energy expenditure of various organs and estimate food energy used during physical activities.
- Measurement: Oxygen consumption, carbon dioxide production, and heat production can be measured to assess BMR.
Body Mass Index (BMI)
- Definition: BMI is a measure of body fat based on height and weight.
- Significance: BMI does not diagnose health conditions but can indicate an individual's risk level for certain health problems.
- Range: BMI values span from underweight to obese.
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