Final answer:
The heat capacity of the metal piece is calculated by dividing the provided heat energy (7000 J) by the temperature change (25°C), resulting in a heat capacity of 280 J/°C.
Step-by-step explanation:
The student is asking about calculating the heat capacity of a piece of metal based on a given amount of heat energy and a temperature change. Heat capacity is a physical property that represents the amount of heat energy required to raise the temperature of a substance by one degree Celsius.
To calculate the heat capacity (C) of the metal piece, you use the formula: Q = C × ΔT where Q is the heat energy provided, ΔT is the change in temperature, and C is the heat capacity you want to determine. Since the question provides the values (Q = 7000 J and ΔT = 50°C - 25°C = 25°C), you can rearrange the formula to solve for C: C = Q / ΔT.
Heat capacity = 7000 J / 25°C = 280 J/°C. Hence, the heat capacity of the metal piece is 280 J/°C.