Grade 9

Grade 9Heat and Thermodynamics


Specific heat capacity and latent heat


Heat and thermodynamics is a fascinating field of physics that allows us to understand the principles of heat energy transfer and its effects. In particular, we delve into two very important concepts: specific heat capacity and latent heat. Understanding these concepts will help us explain how substances react to heat, how they absorb or release energy when they change state, and much more.

Specific heat capacity

Specific heat capacity, often called specific heat, is a property that tells how much heat energy is needed to change the temperature of a substance. It is defined as the amount of heat needed to raise the temperature of one kilogram of a substance by one degree Celsius (or one Kelvin).

Formula for specific heat capacity

The formula for specific heat capacity is given as:

        Q = mcΔT
    

Where:

  • Q is the heat energy absorbed or released (in joules, J)
  • m is the mass of the substance (in kilograms)
  • c is the specific heat capacity (in joules per kilogram per degree Celsius, J/(kg°C))
  • ΔT is the change in temperature (in degrees Celsius or Kelvin)

Example: heating water

Suppose we want to heat 2 kg of water from 20°C to 100°C. The specific heat capacity of water is about 4,186 J/(kg°C). We can use the formula to find out how much heat is needed:

        Q = mcΔT
Q = 2 kg * 4,186 J/(kg°C) * (100°C - 20°C)
Q = 2 * 4,186 * 80
Q = 669,760 J
    

Therefore, 669,760 joules of heat energy are required to heat the water.

Understanding specific heat through pictures

Iron (low specific heat) Water (high specific heat)

In the SVG illustration above, imagine two bars that represent different substances. The red bar represents a substance like water that has a very high specific heat capacity, meaning it requires a lot of heat energy to change its temperature. In contrast, the blue bar represents a substance like iron that has a low specific heat capacity, meaning it heats up quickly with less heat energy.

Latent heat

Latent heat is another essential concept in thermodynamics. It is the heat energy needed to change the state of a substance without changing its temperature. This means that even if you provide heat to a substance, when it changes state, such as from solid to liquid or liquid to gas, its temperature will remain constant.

Types of latent heat

There are mainly two types of latent heat:

  • Latent heat of fusion: It is the heat energy required to change a substance from solid to liquid or vice versa at constant temperature.
  • Latent heat of vaporization: It refers to the thermal energy required to convert a liquid into a gas or vice versa without any change in temperature.

Formula for latent heat

The formula to calculate latent heat is:

        Q = mL
    

Where:

  • Q is the heat energy absorbed or released (in joules, J)
  • m is the mass of the substance (in kilograms)
  • L is the specific latent heat (in joules per kilogram, J/kg)

Example: melting ice

Suppose you have 1 kg of ice at 0°C and you want to melt it completely at the same temperature to form water. The specific latent heat of fusion for ice is about 334,000 J/kg. The heat required to melt the ice is:

        Q = mL
Q = 1 kg * 334,000 J/kg
Q = 334,000 J
    

Therefore, 334,000 joules of energy are required to convert 1 kilogram of ice at 0°C into water at 0°C.

Understanding latent heat through pictures

snow melting Water

In the diagram above, as the ice receives heat, it begins to melt into water at a constant temperature (shown by the dashed line). Even though heat is still being applied, the temperature does not increase until the phase change is complete.

Conclusion

Understanding specific heat capacity and latent heat helps us explain and predict how different substances absorb and release heat. It helps us understand energy transformations during heating and cooling processes and provides information about how energy is conserved during phase changes. Whether you're heating a pot of water or watching ice melt on a hot summer day, these concepts reveal the invisible dance of heat and energy in everyday life.


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