Question

The specific heat capacity of silver is 0.24 J/°C·g.


Calculate the energy required to raise the temperature of 154.0 g Ag from 274 K to 298 K.

Energy =

J


Calculate the energy required to raise the temperature of 1.0 mole of Ag by 1.0°C (called the molar heat capacity of silver).

Molar Heat Capacity =

J/°C·mol


It takes 1.27 kJ of energy to heat a sample of pure silver from 11.3°C to 14.8°C. Calculate the mass of the sample of silver.

Mass =

g

Answer 1

Q = cmΔT

Q = 0.24 * 154.0 * (298 - 274) = 887.04 J

M (Ag) = 107.87 g/mol

C = 0.24 J/°C·g - for 1 g of Ag

For 107.87 g (1 mol):

0.24 * 107.87 = 25.89 J/°C·mol

m = Q / cΔT

ΔT = 14.8 - 11.3 = 3.5

m = $1.27*1000 / (0.24 * 3.5)$

m = 1511.9 g