Given:
The mass of the copper cylinder is: m = 76.8 g = 0.0768 kg
The change in the temperature is: T = 86.5 deg C - 19.5 deg C = 67 deg C
The specific heat is: c = 0.092 cal/g.C
To find:
Heat energy needed to heat the copper cylinder.
Step-by-step explanation:
The specific heat is defined as the amount of heat energy needed to raise the temperature of a substance by one degree celcius.
The expression relating heat Q, mass m, specific heat c and temperature difference T is:
![Q=mcT](https://img.qammunity.org/2023/formulas/physics/college/kr9tes3a20pbkb9idymrb54y5vs8p5ep2h.png)
Substitute the values in the above equation, we get:
![\begin{gathered} Q=76.8\text{ g}*0.092\text{ Cal/g.C}*67\text{ deg C} \\ \\ Q=473.40\text{ Cal} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/7c9qzlx9e5vk500vfe1igtwk8ekylj11rx.png)
Final answer:
473.40 calories of heat is required to heat the copper cylinder.