The heat energy required is 2983 J
Explanation:
When an amount of energy Q is supplied to a certain sample of substance of mass m, the temperature of the substance increases by an amount of [tex]\Delta T[/tex] according to the equation :
[tex]Q=mC_s \Delta T[/tex]
where
Q is the heat supplied
m is the mass of the object
[tex]C_s[/tex] is the specific heat capacity of the substance
[tex]\Delta T[/tex] is the change in temperature
For the glass bottle in this problem:
[tex]m=53.0 g[/tex]
[tex]\Delta T = 92.0 - 25.0 =67.0^{\circ}C[/tex] is the change in temperature
[tex]C_s = 0.84 J/g^{\circ}C[/tex] is the specific heat of glass
Substituting into the equation, we find
[tex]Q=(53.0)(0.84)(67)=2983 J[/tex]
Learn more about specific heat capacity:
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