The specific heat capacity c of a metal is approximately related to its molar mass as follows: c × = 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.

Question

The specific heat capacity c of a metal is approximately related to its molar mass  as follows: c ×  = 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.

Quizplus · Accepted Answer

We can rearrange the given relationship c × 11ea8ef8_2bb8_3efb_ab0a_f3c26024187d_TB5833_11 = 3R to solve for c as follows:

c = 3R / 11ea8ef8_2bb8_3efb_ab0a_f3c26024187d_TB5833_11

Substituting the given values, we get:

c = (3 x 8.314 J/molK) / (26.98 g/mol x 1.987 cal/molK)

c = 0.902 J/gK

This value is very close to the given specific heat capacity of 0.900 J/gK for Aluminum (Al). Therefore, the best choice is D) Al.

The Specific Heat Capacity C of a Metal Is Approximately