The volume of a body does not directly affect the amount of time required to increase its temperature by one degree Celsius. The time it takes to increase the temperature of an object depends on several factors, including its specific heat capacity, the amount of heat applied, and the rate at which heat is transferred to or from the body.
Specific heat capacity (or simply, specific heat) is a property of a material that represents the amount of heat energy required to raise the temperature of a given mass of the material by a certain amount. It is typically measured in units of J/(kg·°C) or cal/(g·°C). Different materials have different specific heat capacities, meaning they require varying amounts of heat energy to raise their temperature by the same amount.
The equation relating heat energy (Q), mass (m), specific heat capacity (c), and temperature change (ΔT) is:
Q = m * c * ΔT
From this equation, you can see that the mass of the body (which is proportional to its volume, assuming constant density) plays a role in determining the amount of heat energy required to raise its temperature.
However, the time required to increase the temperature by one degree Celsius is not directly dependent on volume. It primarily depends on the rate of heat transfer to or from the body, which is influenced by factors such as the surface area of the body, the nature of the medium surrounding the body (e.g., air, water), and the efficiency of heat transfer mechanisms like conduction, convection, and radiation.