Answer: The specific heat capacity of an unknown metal is [tex]0.387 J/g^{o}C[/tex].
Explanation:
Given: Heat energy = 394 J
Mass = 15 g
Initial temperature = [tex]96^{o}C[/tex]
Final temperature = [tex]28^{o}C[/tex]
Formula used is as follows.
[tex]q = m \times C \times (T_{2} - T_{1})[/tex]
where,
q = heat energy
m = mass of substance
C = specific heat capacity
[tex]T_{1}[/tex] = initial temperature
[tex]T_{2}[/tex] = final temperature
Substitute the values into above formula as follows.
[tex]q = m \times C \times (T_{2} - T_{1})\\394 J = 15 g \times C \times (28 - 96)^{o}C\\C = \frac{394 J}{15 g \times (68^{o}C)}\\= \frac{394 J}{1020 g^{o}C}\\= 0.387 J/g^{o}C[/tex]
Thus, we can conclude that the specific heat capacity of an unknown metal is [tex]0.386 J/g^{o}C[/tex].
