Answer:
0.213 J/g°C
Step-by-step explanation:
To calculate specific heat of the metal, the formula is used:
Q = m × c × ∆T
Where Q = amount of heat
m = mass
c = specific heat
∆T = change in temperature
According to this question, Q = 37.7 J, m= 12.5 g, initial temperature= 19.5 °C, final temperature = 33.6°C, c=?
Q = m × c × ∆T
37.7 = 12.5 × c × (33.6-19.5)
37.7 = 12.5c × 14.1
37.7 = 176.25c
c = 37.7/176.25
c = 0.2139
Hence, the specific heat of the metal is 0.213 J/g°C