Sensible Heat Calculator

The sensible heat calculator determines the heat required to cause an object's temperature to change. This change in heat can cause a body to either cooldown or heat up depending on whether the heat is removed or added to the system. We use this concept of sensible heat to heat water to have warm showers in winter as well as have cool drinks from the refrigerator during hot summer. Sensible heat is a function of temperature change, specific heat, and the mass of the object.

Sensible heat is also a useful concept in solar energy-based technologies, especially in regions where the availability of solar power is irregular or season-based. Sensible heat storage is a kind of solar thermal storage solution under which you store heat in a fluid media like water, oil, or solid storage media like rocks, metals, or fabrics. It is the most simple form of heat storage and can be achieved with just a water storage tank and a heat source causing the exchange of heat.

So, what is sensible heat? Read on to understand the concept of sensible heat and the sensible heat equation.

When you heat or cool an object, a temperature change occurs; the heat responsible for the temperature change is sensible heat. For instance, when you heat an ice cube, its temperature will start increasing up to a point where it starts melting, i.e., 0 °C. Similarly, as we heat water from room temperature, its temperature increases until it starts boiling. This heat that results in temperature change is sensible heat. In other words, it is the heat that you can feel or sense.

In contrast, a heat component that only causes a phase change is called latent heat. Learn more with our latent Heat Calculator. The figure below illustrates the process of phase and temperature change for water.

Now that you know the definition of sensible heat, let's look at the sensible heat formula. The sensible heat is a function of temperature difference, the material's specific heat, and the object's mass. The equation for sensible heat is:

where:
$Q$ – Sensible heat;
$m$ – Mass of object;
$c_p$ – Specific heat capacity;
$T_i$ – Initial temperature; and
$T_f$ – Final temperature;

To calculate sensible heat:

1. Enter the mass of the object.
2. Fill in the specific heat capacity of the object.
3. Insert the initial temperature of the system.
4. Enter the final temperature of the system.
5. The calculator will return the value of sensible heat.

Determine the sensible heat (added or removed) for the system having mass 75 g and a specific heat capacity of 1005 J/kg·K. Take the initial and final temperature of the system as 25° C and -5° C, respectively.

1. Enter the mass of the object, $m = 0.075 \text{ kg}$.
2. Fill in the specific heat capacity, $c_p = 1005 \text{ J/kg}\cdot\text{K}$.
3. Insert the initial temperature, $T_i = 25 \text{ °C}$.
4. Enter the final temperature, $T_f = -5 \text{ °C}$.
5. Using the sensible heat equation:

The sensible heat is $-2.26 \ \text{kJ}$. Since it is negative, this implies the heat is removed from the system. It is also observable from the fact that the system has cooled down, i.e., ($T_f < T_i$).