The heat required to raise the temperature of the copper is [tex]\boxed{1252.6\,{\text{cal}}}[/tex].
Further Explanation:
Given:
The mass of the copper is [tex]0.368\,{\text{kg}}[/tex].
The specific heat capacity of copper is [tex]0.0920\,\text{cal/g}\cdot^\circ\text{C}[/tex] .
Concept:
The specific heat capacity of a particular substance is the amount of energy required to raise the temperature of unit mass of the substance by [tex]1\,^\circ {\text{C}}[/tex].
The change I temperature required to heat the copper is given as.
[tex]\Delta T = {T_f} - {T_i}[/tex]
Substitute the final and initial values of temperature.
[tex]\begin{aligned}\Delta T &= 60 - 23\,^\circ {\text{C}} \\&= {\text{37}}\,^\circ {\text{C}} \\\end{aligned}[/tex]
The expression for the amount of heat required to raise the temperature of the copper is.
[tex]\boxed{Q = mC\Delta T}[/tex]
Here, [tex]Q[/tex] is the amount of heat required, [tex]m[/tex] is the mass of the substance, [tex]C[/tex] is the specific heat capacity and [tex]\Delta T[/tex] is the change in temperature required.
Substitute the values in above expression.
[tex]\begin{aligned}Q&=368\,\text{g}\times(0.0920\,\text{cal/g}\cdot{^\circ\text{C}})\times(37\,{^\circ}\text{C})\\&=1252.6\,\text{cal}\end{aligned}[/tex]
Thus, the amount of heat required to raise the temperature of the copper from [tex]23\,{\text{^\circ C}}[/tex] to [tex]60\,{\text{^\circ C}}[/tex] is [tex]\boxed{1252.6\,{\text{cal}}}[/tex].
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Answer Details:
Grade: High School
Chapter: Heat transfer
Subject: Physics
Keywords: Heat energy, raise the temperature, substance, copper, unit mass, heat required, specific heat, mass, 23 C to 60 C, capacity.
