A Solid of Mass M Initially at T₀ Is Heated $\mathrm{}_{\mathrm{p}}^{sol}$

question 24

Multiple Choice

A solid of mass m initially at T₀ is heated to T₁ at constant pressure where it proceeds to melt. Once all of the solid is in the liquid phase it is further heated to T₂. If the solid and liquid have specific heat capacities of c $\mathrm{}_{\mathrm{p}}^{sol}$ and c $\mathrm{}_{\mathrm{p}}^{liq}$ respectively, which equation below best represents the change in entropy for this system?

• A) \(m \int_{\mathrm{T}_{\mathrm{o}}}^{\mathrm{T}_{2}} \frac{C_{p}^{sol} C_{p}^{l i q}}{\mathrm{T}} d T\)
• B) \(m \int_{\mathrm{T}_{0}}^{\mathrm{T}_{1}} \frac{\mathrm{c}_{\mathrm{p}}^{\mathrm{sol}}}{\mathrm{T}}\)\(d T\) \(\int_{T_{1}}^{T_{2}} \frac{C_{p}^{l i q}}{T}\)\(d T\)
• C) \(m\left[\int_{\mathrm{T}_{\mathrm{u}}}^{\mathrm{T}_{1}} \frac{\mathrm{C}_{\mathrm{p}}^{\mathrm{sol}}}{\mathrm{T}} \mathrm{dT}+\int_{\mathrm{T}_{1}}^{\mathrm{T}_{2}} \frac{\mathrm{C}_{\mathrm{p}}^{\mathrm{liq}}}{\mathrm{T}} \mathrm{dT}\right]\)
• E) B and D

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