Specific Heat Capacity-Daily Life Examples

Specific heat capacity is defined as the amount of heat energy required to raise the temperature of a given amount of a substance by one degree Celsius (or one Kelvin).
In simple words, specific heat is like how fast or slow things warm up or cool down when you apply heat. The formula for specific heat capacity (c) is given by:

Q=mcΔT

where:

• Q is the heat energy absorbed or released;
• m is the mass of the substance;
• c is the specific heat capacity of the substance;
• ΔT is the change in temperature.

For more clarification of the concept, Let’s say you have one kilogram (kg) of water at room temperature (around 20°C). To raise the temperature of water to 100°C, we can use the following steps:

Q=mcΔT = 1 kg x (4.186 J/kg°C) x (100°C−20°C)
Q = 334.88J

Importance of Specific Heat Capacity

Specific heat capacity is a fundamental concept in science and engineering, serving as a key parameter in understanding how materials respond to changes in temperature. It plays a crucial role in:

1. Thermal System Design:
   • Influencing spacecraft engineering and the development of efficient heating and cooling technologies.
2. Material Selection:
   • Guiding the choice of materials for diverse applications, including electronic devices, climate science, and building insulation.
3. Heat Energy Quantification:
   • By quantifying the amount of heat energy required to raise or lower the temperature of a substance.
4. Calorimetry Experiments:
   • Playing a vital role in measuring heat changes during chemical reactions.
5. Energy Storage Systems:
   • Leveraging materials with high specific heat capacity for applications such as solar water heaters.
6. Medical Applications:
   • Being relevant in medical contexts, informing treatments like hyperthermia and contributing to temperature management in medical devices.

Units of Specific Heat

System	Units	Example
SI (International System of Units)	Joules per kilogram per degree Celsius (J/(kg·°C))	Heating water (4.186 J/(kg·°C))
Imperial	Calories per gram per degree Celsius (cal/(g·°C))	Heating food (1 cal/(g·°C))

Daily Life Examples of Specific Heat Capacity

1. To heat 1 kg of water from room temperature (20°C) to boiling (100°C), it requires approximately 334,880 joules of energy, given the specific heat capacity of water (4.186 J/(kg·°C)).
2. Boiling water to cook pasta involves a significant energy transfer. Let’s say it takes an additional 100,000 joules to cook 500 grams of pasta, considering the specific heat of water.
3. Radiators in homes heat up water, and this hot water is circulated to provide warmth. For instance, heating 100 kg of water by 10°C requires 418,600 joules.
4. When adding ice to a warm drink, the ice absorbs heat to melt and cool the drink. For 250 grams of ice melting at 0°C, it absorbs around 209,300 joules, based on the specific heat of ice (2,090 J/(kg·°C)).
5. The specific heat capacity of water is crucial in aquariums. Heating 50 liters of water by 5°C requires about 20,930 joules.

Simple Case Study-Spacecraft orbiting Earth

Consider a spacecraft component exposed to direct sunlight, experiencing a temperature increase from -100°C in the shadow to +150°C in direct sunlight. The component needs to withstand these extremes without compromising its functionality.

Calculation:

Q=mcΔT

Given:

• Mass (m) of the component = 5 kg
• Specific Heat Capacity (c) of the material = 800 J/kg°C
• Temperature Change (ΔT) = 150°C−(−100°C)=250°C

Q=5kg×800J/kg∘C×250∘C
=1,250,000J

This calculation indicates that the spacecraft component would absorb or release 1,250,000 joules of heat to accommodate the temperature change.