Question

It takes 58.3 J to raise the temperature of an 11.3 g piece of unknown metal from 13.0 °C to 24.5 °C. What is the specific heat for the metal?

Answer 1

The specific heat capacity of the metal is approximately 0.445 J/g°C.

Step-by-step explanation:

The specific heat capacity of a substance is the amount of heat energy required to raise the temperature of one gram of the substance by one degree Celsius. The formula to calculate specific heat capacity is:

specific heat (J/g°C) = heat absorbed (J) / (mass (g) x change in temperature (°C))

In the given question, the heat absorbed is 58.3 J, the mass is 11.3 g, and the change in temperature is (24.5 - 13.0) = 11.5 °C. Substituting these values into the formula:

specific heat = 58.3 J / (11.3 g x 11.5 °C) ≈ 0.445 J/g°C

Therefore, the specific heat of the metal is approximately 0.445 J/g°C.