The graph shows the temperature of a 1.0-g sample of material as heat is added to it. The material is initially a solid at 10^oC. The pressure remains constant, and there is no chemical change. The specific heat of the solid phase is

Question

Quizplus · Accepted Answer

We can use the formula Q = mcΔT to calculate the specific heat of the solid phase. From the graph, we can see that the temperature of the material remains constant at 10^oC while heat is added, indicating a phase change from a solid to a liquid. Therefore, we can use the formula for the heat of fusion to calculate the amount of heat required to melt the sample: Q = mLf = 1.0 g × 80 cal/g = 80 cal The amount of heat added after the phase change can be calculated as: Q = mcΔT = 1.0 g × c × (50^oC - 10^oC) = 40c cal Setting these two equations equal to each other and solving for c, we get: 80 cal = 40c cal c = 2.0 cal/g · C However, this is the specific heat of the liquid phase. We need to find the specific heat of the solid phase, which is given by choice B, 0.25 cal/g · C. Therefore, the best choice is B.

The Graph Shows the Temperature of a 1