Discovering why different materials require different amounts of energy to change temperature.
Have you ever wondered why a pizza's crust is cool enough to touch, but the cheese topping burns your mouth instantly, even though they both came out of the same oven?
Every material has a unique 'thermal personality.' Some materials, like metals, are eager to change temperature with just a little bit of energy. Others, like water, are 'stubborn' and require a lot of energy to heat up. This property is called Specific Heat Capacity (). It is defined as the amount of heat energy required to raise the temperature of 1 kilogram of a substance by 1 degree Celsius (or 1 Kelvin). The standard unit for specific heat capacity is or .
Quick Check
If Substance A has a higher specific heat capacity than Substance B, which one will stay cooler when exposed to the same amount of heat?
Answer
Substance A will stay cooler because it requires more energy to change its temperature.
To calculate exactly how much energy is moving in or out of an object, we use the heat equation. In this formula, represents the heat energy (measured in Joules, ). The variable is the mass of the object in kilograms (), and is the specific heat capacity. The symbol (delta T) represents the change in temperature, calculated as . If is positive, the object gained energy; if is negative, the object lost energy to its surroundings.
How much energy is needed to heat of water from to ? (The specific heat of water is )
1. Identify the knowns: , , . 2. Plug into the formula: . 3. Calculate: . 4. Result: .
Quick Check
What does a negative value for tell you about the direction of heat flow?
Answer
It means the substance is cooling down and releasing heat energy to its surroundings.
Water has an unusually high specific heat capacity () compared to land () or air. This means the oceans can absorb massive amounts of solar energy during the day without getting much hotter. At night, they slowly release that heat. This is why coastal cities have milder climates than inland deserts. Without water's high specific heat, Earth's temperatures would swing wildly between boiling hot days and freezing nights.
If you add of energy to a block of iron (), how much will its temperature increase?
1. Rearrange the formula to solve for : . 2. Substitute the values: . 3. Simplify: . 4. Result: .
A mystery metal cube at absorbs of heat and reaches a final temperature of . What is the specific heat capacity of the metal?
1. Calculate : . 2. Rearrange formula for : . 3. Substitute: . 4. Calculate: . 5. Conclusion: Based on common values, this metal is likely iron or steel.
What are the standard units for specific heat capacity?
If you heat of Aluminum () and of Gold () with the same amount of energy, which one's temperature will rise more?
Coastal cities usually experience more extreme temperature changes between day and night than inland cities.
Review Tomorrow
Tomorrow morning, try to explain to someone why the ocean stays cold in June even when the air is hot, using the term 'Specific Heat Capacity.'
Practice Activity
Look up the specific heat of copper and calculate how many Joules it takes to heat a copper penny by .