Question

use the specific heat values to answer the following questions. which of the following has the smallest heat capacity? 5.0 g fe 2.5 g cu 3.0 g pb 6.5 g al

Explanation:

Step1: Recall the formula for heat capacity

Heat capacity \(C = m\times C_p\), where \(m\) is the mass and \(C_p\) is the specific heat capacity.

Step2: Calculate heat capacity for each substance

• For \(Fe\): \(C_{Fe}=5.0\space g\times0.450\space J/g\cdot^{\circ}C = 2.25\space J/^{\circ}C\)
• For \(Cu\): \(C_{Cu}=2.5\space g\times0.385\space J/g\cdot^{\circ}C=0.9625\space J/^{\circ}C\)
• For \(Pb\): \(C_{Pb}=3.0\space g\times0.129\space J/g\cdot^{\circ}C = 0.387\space J/^{\circ}C\)
• For \(Al\): \(C_{Al}=6.5\space g\times0.897\space J/g\cdot^{\circ}C=5.8305\space J/^{\circ}C\)

Answer:

\(3.0\space g\space Pb\) has the smallest heat capacity.