Answer:
The way you can determine which is the unknown metal is measuring for denstity, compare the results and that should give you the unknown metal you are trying to find.
Density is the unit volume occupied by a given mass of a material
Specific heat capacity is the required heat that raises a given mass of substance temperature by one degree
Reasons:
The possible values in the table of values in the table for the question are;
[tex]\begin{array}{|l|c|c|}\mathbf{Metal}&\mathbf{Atomic \ Mass \ Unit}&\mathbf{Sprecific \ Heat \ Capacity}\\Zinc&65.4&0.38\\Titanum&47.9&0.52\\Tin&118.7&0.22\\Copper&63.5&0.38\\Barium&137.3&0.19\\Aluminum&27.0&0.90\end{array}\right][/tex]
Given that the experimental value for the specific heat capacity of your unknown is 0.37 J/(g·°C), to determine positively which metals in Table 3 is your unknown, we have;
The given difference between the two metals can be used to determine the unknown metal as follows;
Atomic mass unit of copper = 63.5 amu
Atomic mass unit of zinc = 65.4 amu
The given mass of the unknown metal rod is 86.5 g
The density of zinc is 7.133 g/cm³
The density of copper is 8.96 g/cm³
The volume of water displaced by the 86.5 g of the metal is therefore;
For zinc:
[tex]Volume = \dfrac{86.5}{7.133} \approx 12.127[/tex]
The volume of water displaced if the unknown metal is a zinc rod is 12.127 cm³
For copper, we have:
[tex]Volume = \dfrac{86.5}{8.96} \approx 9.654[/tex]
A metal sample of zinc displaces (12.127 - 9.654 = 2.743) 2.743 cm³ more water than copper, in the calorimeter
Therefore;
The volume of water displaced in the calorimeter will be 12.127 cm³ if the metal is zinc while 9.654 cm³ will be displaced if the metal is copper
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