Question

Prepare a graph of heat capacities for metals versus their atomic weights. Combine the data in Table 6.1 and the values in the following table. What is the relationship between specific heat capacity and atomic weight? Use this relationship to predict the specific heat capacity of platinum. The specific heat capacity for platinum is given in the literature as 0.133 J/g · K. How good is the agreement between the predicted and actual values?

Answer 1

Interpretation:

The graph comparing specific heat capacity with the atomic weights of metals and predicting the specific heat capacity of platinum has to be prepared.

Concept Introduction:

The specific heat capacity (C) is the energy transferred as the heat required to raise the temperature of 1gram of substance by one kelvin.

 

Given the table for specific heat capacity (C) and atomic weights of metals

Metals	specific heat capacity (C) in J/gK	atomic weight	Molar heat capacity in J//molK
Al	0.897	26.98	24.2
Ti	0.522	47.867	24.9
Cr	0.450	51.99	23.3
Fe	0.449	55.84	25.1
Cu	0.385	63.54	24.5
Ag	0.236	107.86	25.4
Au	0.129	196.96	25.4
Pb	0.127	207.2	26.3
Pt	0.133	195.084	25.9

 

Specific heat capacity \(=\) Molar heat capacity \(\times \frac{1 \mathrm{~mol}}{\text { atomic weight }}\)

Specific heat capacity \(=25.9 \times \frac{1 \mathrm{~mol}}{195.084}=0.132 \mathrm{~J} / \mathrm{gK}\)

The predicted value is in good agreement with the actual value.

The predicted value is 0.132J/gK.