The amount of thermal energy needed is 626.6 J
Explanation:
When a certain amount of heat energy Q is supplied to a substance, the temperature of the substance increases according to the equation
[tex]Q=mC_s \Delta T[/tex]
where
m is the mass of the substance
[tex]C_s[/tex] is the specific heat capacity of the substance
[tex]\Delta T[/tex] is the change in temperature
In this problem,
m = 4.5 kg is the mass
[tex]C_s = 1.68 kJ/kg^{\circ}[/tex] is the specific heat capacity of the substance
[tex]\Delta T = 97-12=85^{\circ}C[/tex] is the change in temperature of the substance
Solving for Q,
[tex]Q=(4.5)(1.68)(85)=626.6 J[/tex]
(Note that the substance cannot be water, since specific heat capacity of water is [tex]4.18 kJ/kg^{\circ}C[/tex]
Learn more about specific heat capacity:
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