The specific heat capacity c of a metal is approximately related to its molar massℳ as follows: c ×ℳ = 3R, where R is the universal gas constant, 8.314 J/mol·K. Use this relationship to identify the metal which has a specific heat capacity of 0.900 J/g·K.

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The relationship c × ℳ = 3R can be rearranged to find the molar mass ℳ = 3R / c. Substituting the given values, ℳ = (3 × 8.314 J/mol·K) / (0.900 J/g·K) = 27.71 g/mol. This molar mass is closest to that of aluminum (Al), which is approximately 27 g/mol.

The Specific Heat Capacity C of a Metal Is Approximately