A) It takes 47.0J to raise the temperature of an 10.7g piece of unknown metal from 13.0∘C to 25.0∘C. What is the specific heat for the metal?

b) The molar heat capacity of silver is 25.35 J/mol⋅∘C. How much energy would it take to raise the temperature of 10.7g of silver by 15.2∘C?

c) What is the specific heat of silver?

The heat Q can be evaluated as:

Q=mcΔT

where:

m is the mass

c specific heat

ΔT change in temperature.

So:

a)

47=10.7c (25-13)

c=0.39 J/g°C

Using the same idea you get (I transformed g into moles using the molar mass of silver from the table of elements):

b) Q = (10.7/107.9) * 25.35*15.2=38.21 J

where: Molar mass of Ag = 107.8682 g/mol

c) 38.21=10.7c15.2

c=specific heat of silver=0.235 J/g°C