The specific heat capacity of an unknown elemental metal is experimentally determined via calorimetr — Mole Concept and Some Basic Concepts of Chemistry Chemistry Question
Question
The specific heat capacity of an unknown elemental metal is experimentally determined via calorimetry to be exactly $0.214\text{ Cal g}^{-1}\,{}^\circ\text{C}^{-1}$. Applying Dulong and Petit's empirical law, what is the approximate atomic weight of this element?
💡 Solution & Explanation
Step 1: Recall Dulong and Petit's Law. This empirical rule states that for most solid elements (primarily metals), the product of their atomic weight and their specific heat capacity (in calories per gram per degree Celsius) is a constant, approximately equal to 6.4. Step 2: Set up the equation. Approximate Atomic Weight $\times 0.214 \approx 6.4$. Step 3: Solve for the atomic weight. Approximate Atomic Weight $\approx \frac{6.4}{0.214} \approx 29.90$. This value is closest to 30.