How much heat is required to warm 1.50 kg of sand from 25.0 °C to 100.0 °C?

Key Concepts

Specific Heat Capacity

Specific heat capacity is the amount of heat required to raise the temperature of one kilogram of a substance by one degree Celsius. It is a material-specific property that varies between different substances. For sand, the specific heat capacity is approximately 0.84 J/g°C, which means it requires this amount of energy to increase its temperature.

Heat Transfer Equation

The heat transfer equation, often expressed as Q = mcΔT, relates the heat energy (Q) absorbed or released by a substance to its mass (m), specific heat capacity (c), and the change in temperature (ΔT). This equation is fundamental in calculating the heat required for temperature changes in various materials, allowing for precise energy calculations in thermal processes.

Temperature Change

Temperature change (ΔT) is the difference between the final and initial temperatures of a substance. In this case, it is calculated as 100.0 °C - 25.0 °C, resulting in a ΔT of 75.0 °C. Understanding temperature change is crucial for determining how much heat energy is needed to achieve the desired temperature increase in a material.