Question

Part A

It takes 49.0 J to raise the temperature of an 11.0 g piece of unknown metal from 13.0∘C to 24.9 ∘C. What is the specific heat for the metal?

Express your answer with the appropriate units.

Parts B and C

The next two questions pertain to silver. They have nothing to do with unknown metal described in Part A.

Part B

The molar heat capacity of silver is 25.35 J/mol⋅∘C. How much energy would it take to raise the temperature of 11.0 g of silver by 15.5 ∘C?

Express your answer with the appropriate units.

Part C

What is the specific heat of silver?

Express your answer with the appropriate units.

Answer 1

A)

Given:

Q = 49 J

m = 11 g

Ti = 13 oC

Tf = 24.9 oC

use:

Q = m*C*(Tf-Ti)

49.0 = 11.0*C*(24.9-13.0)

C = 0.374 J/g.oC

Answer: 0.374 J/g.oC

B)

Molar mass of Ag = 107.9 g/mol

use:

specific heat capacity = molar heat capacity / molar mass

specific heat capacity = 25.35 J/mol.oC / 107.9 g/mol

specific heat capacity = 0.2349 J/g.oC

Given:

m = 11 g

C = 0.2349 J/g.oC

ΔT = 15.5 oC

use:

Q = m*C*ΔT

Q = 11.0*0.2349*15.5

Q = 40.05045 J

Answer: 40.1 J

C)

As calculated in B,

specific heat capacity = 0.2349 J/g.oC

Answer: 0.235 J/g.oC