The specific heat is the amount of heat required to raise the temperature of a gram of a substance by 1 degree Celsius (or Kelvin). The heat energy required to raise the temperature of a substance is given as:
heat energy = mass of substance x specific heat of the substance x change in temperature
Here, mass of substance = 25 g
change in temperature = 7.69 K
heat energy needed = 684.4 J
Substituting these values in the equation, we get:
684.4 J = 25 g x specific heat of lithium x 7.69 K
or specific heat of Lithium = 684.4 J / (25 g x 7.69 K) = 3.56 J/g/K
We can also specify the specific heat of lithium as 3560 J/kg/K.
In comparison, the specific heat of water is 4.186 J/g/K or 4186 J/kg/K.
Hope this helps.
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