Which of the following represents the correct units for molar heat capacity?

• A. J K^{-1}
• B. J g^{-1} K^{-1}
• C. mol J^{-1} K^{-1}
• D. J mol^{-1} K^{-1}

Answer: (D)

Verified step by step guidance

1. Understand that molar heat capacity is the amount of heat required to raise the temperature of one mole of a substance by one kelvin (or degree Celsius).
2. Recall that heat capacity generally has units of energy per temperature, such as joules per kelvin (J K^{-1}).
3. Since molar heat capacity is heat capacity per mole, divide the heat capacity units by moles, resulting in units of joules per mole per kelvin.
4. Express this as \(J \ mol^{-1} \ K^{-1}\), which means joules per mole per kelvin.
5. Compare the given options and identify that \(J \ mol^{-1} \ K^{-1}\) correctly represents molar heat capacity units.