Chapter 3, Problem 3.105CP

A metal is thought to be titanium or aluminum. When 4.7 g of the metal absorbs 11 J, its temperature rises by 4.5 °C. (3.6)

a. What is the specific heat (J/g °C) of the metal?
b. Would you identify the metal as titanium or aluminum (see TABLE 3.11)?

TABLE 3.11 Specific Heats for Some Substance

Substance	$\text{cal}/\text{g}\text{°C}$	$\text{J}/\text{g}\text{°C}$
Elements
Aluminum, Al(s)	0.214	0.897
Copper, Cu(s)	0.0920	0.385
Gold, Au(s)	0.0308	0.129
Iron, Fe(s)	0.108	0.452
Silver, Ag(s)	0.0562	0.235
Titanium, Ti(s)	0.125	0.523
Compounds
Ammonia, NH3(g)	0.488	2.04
Ethanol, C2H6O(?)	0.588	2.46
Sodium chloride, NaCl(s)	0.207	0.864
Water, H2O(?)	1.00	4.184
Water, H2O(s)	0.485	2.03

$\text{specific heat }(SH)=\frac{\text{heat}}{\text{mass }\Delta T}=\frac{\text{cal}(\text{or J)}}{\text{g °C}}$