Boyle's law is actually related to the relationship between the pressure and volume of a gas at constant temperature, not specifically about the temperature change of a body when it gains or loses energy. However, I can explain how the temperature of a body may change when it gains or loses energy based on the principles of thermodynamics.
According to the First Law of Thermodynamics, which is the law of conservation of energy, when a body gains or loses energy, it experiences a change in its internal energy. The internal energy of a body is related to its temperature.
If a body gains energy: When a body absorbs energy from its surroundings, its internal energy increases. This increase in internal energy typically leads to an increase in temperature. The body's particles become more energetic and their average kinetic energy, which is related to temperature, rises. This is observed in various heating processes.
If a body loses energy: When a body loses energy to its surroundings, its internal energy decreases. This decrease in internal energy generally results in a decrease in temperature. The average kinetic energy of the body's particles decreases, leading to a lower temperature. This can be observed in cooling processes or when heat is transferred from a hotter body to a cooler body.
It's important to note that these temperature changes are not necessarily linearly proportional to the amount of energy gained or lost. The relationship between energy change and temperature change depends on factors such as the specific heat capacity of the material and the amount of energy involved. Different substances can have different thermal properties and respond differently to energy changes.
In summary, when a body gains energy, its temperature generally increases, and when a body loses energy, its temperature generally decreases.