The specific heat capacity of solid copper metal is 0.385 J/gK. How many joules of heat are needed to raise the temperature of a 1.55-kg block of copper from 33.0°C to 77.5°C? The specific heat capacity of solid copper metal is 0.385 J/gK. How many joules of heat are needed to raise the temperature of a 1.55-kg block of copper from 33.0°C to 77.5°C? 5.58 * 10-6 J 1.79 * 105 J 0.00558 J 2.66 * 104 J 26.6 J

Answer: 26.6 J

Explanation:

The heat needed to raise the temperature of a solid body, using only a conductive process, has been empirically showed to be equal to the following expression:

Q = c. m. (t2 - t1)

where c = specific heat capacity (in J/gK), m = mass of the solid (in g),

and (t2 - t1) = difference between final and initial temperatures.

Replacing by the values, we get:

Q = 0.385 J/gK. 1,550 g. (77.5ºC - 33.0ºC) = 26.6 J