Question

question 10 (6 points)
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question 9) which element, copper or aluminum, has the steeper slope? (6ts)
○ copper
○ aluminum

Explanation:

To determine which element (copper or aluminum) has a steeper slope, we typically refer to the specific heat - temperature or mass - energy (or similar) graph slopes. The slope here is related to the specific heat capacity concept. The formula for the slope (in the context of heat and temperature, for example, when plotting temperature vs. heat added or mass - energy relations) can be related to the specific heat capacity. The specific heat capacity \(c\) is related to the heat \(Q\), mass \(m\), and temperature change \(\Delta T\) by the formula \(Q = mc\Delta T\). If we consider a graph of temperature (\(T\)) vs. heat (\(Q\)) for a fixed mass, we can rearrange the formula to \(T=\frac{1}{mc}Q+\text{initial temperature}\). So the slope of the \(T - Q\) graph is \(\frac{1}{mc}\). The specific heat capacity of copper is \(c_{copper}=0.385\space J/(g\cdot^{\circ}C)\) and for aluminum \(c_{aluminum} = 0.900\space J/(g\cdot^{\circ}C)\). Since the slope is inversely proportional to the specific heat capacity (for a fixed mass), a smaller specific heat capacity means a larger slope. Since \(0.385<0.900\), copper has a steeper slope.

Answer:

Copper