(b) Calculate the energy needed for this temperature change.

Verified step by step guidance

1. Identify the substance involved in the temperature change and its specific heat capacity (c).
2. Determine the mass (m) of the substance undergoing the temperature change.
3. Identify the initial (T_i) and final (T_f) temperatures of the substance.
4. Use the formula for calculating the energy change: \( q = m \cdot c \cdot \Delta T \), where \( \Delta T = T_f - T_i \).
5. Substitute the known values into the formula to calculate the energy (q) needed for the temperature change.

Key Concepts

Specific Heat Capacity

Specific heat capacity is the amount of heat energy required to raise the temperature of one gram of a substance by one degree Celsius. It varies for different materials and is crucial for calculating energy changes during temperature changes. The formula used is Q = mcΔT, where Q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.

Temperature Change (ΔT)

Temperature change, denoted as ΔT, is the difference between the final and initial temperatures of a substance. It is a critical factor in energy calculations, as it directly influences the amount of energy absorbed or released. Understanding how to accurately determine ΔT is essential for solving problems related to heat transfer.

Energy Transfer

Energy transfer refers to the movement of energy from one system to another, often in the form of heat. In the context of temperature changes, energy is absorbed or released by a substance as it undergoes heating or cooling. This concept is fundamental in thermodynamics and is essential for calculating the energy required for temperature changes in various materials.