The specific heat capacity for silver is 0.24 J/goC. Calculate the energy required to raise the temperature of 150.0 g Ag from 273 K to 298 K.
Solution:
q = m × C × ΔT
q = m × C × (Tf − Ti),
where:
q = amount of heat energy gained or lost by substance (J)
m = mass of sample (g)
C = specific heat capacity (J °C−1 g−1)
Tf = final temperature (°C)
Ti = initial temperature (°C)
m = 150.0 g
C = 0.24 J °C−1 g−1
Tf = 298 K = 25°C
Ti = 273 K = 0°C
Therefore,
q = (150.0 g) × (0.24 J °C−1 g−1) × ( 25°C − 0°C) = 900 J
q = 900 J
Answer: 900 J of energy required
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