A lab group is given 25.0 grams of an unknown metal. The students are instructed to identify the metal by determining its specific heat capacity. Their unknown must be one of the metals from the following table:
\begin{tabular}{lc}
Substance & Specific heat $\left(\mathrm{J} / \mathrm{g}^{\circ} \mathrm{C} ight)$ \
\hline Aluminum & 0.897 \
Magnesium & 1.024 \
Silver & 0.235 \
Zinc & 0.388
\end{tabular}

Using a standard calorimetry set-up and three separate trials, the students report that their sample released -1760 joules of thermal energy when it cooled from $100.0^{\circ} \mathrm{C}$ to $21.4^{\circ} \mathrm{C}$.

Specific heat equation $\checkmark$
What is the likely identity of the metal?

Choose 1 answer:
(A) aluminum
(B) magnesium
(c) silver
(D) zinc

Question

A lab group is given 25.0 grams of an unknown metal. The students are instructed to identify the metal by determining its specific heat capacity. Their unknown must be one of the metals from the following table:
\begin{tabular}{lc} 
Substance & Specific heat $\left(\mathrm{J} / \mathrm{g}^{\circ} \mathrm{C}ight)$ \
\hline Aluminum & 0.897 \
Magnesium & 1.024 \
Silver & 0.235 \
Zinc & 0.388
\end{tabular}

Using a standard calorimetry set-up and three separate trials, the students report that their sample released -1760 joules of thermal energy when it cooled from $100.0^{\circ} \mathrm{C}$ to $21.4^{\circ} \mathrm{C}$.

Specific heat equation $\checkmark$
What is the likely identity of the metal?

Choose 1 answer:
(A) aluminum
(B) magnesium
(c) silver
(D) zinc

Accepted Answer

***D*** ∻Key Concept∻ ⚹Specific Heat Capacity⚹ ∻Explanation∻ ⚹The specific heat capacity can be calculated using the formula $q = mc\Delta T$. Given the thermal energy released ($q = -1760$ J), mass ($m = 25.0$ g), and temperature change ($\Delta T = 100.0^\circ C - 21.4^\circ C = 78.6^\circ C$), we can solve for the specific heat capacity ($c$). The calculated specific heat capacity is closest to that of zinc (0.388 J/g°C).⚹◊What is the specific heat equation used to calculate the specific heat capacity of a metal in this scenario?⍭ Generate me a similar question◊

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