Question

Calculate the final temperature of a 73.1 g sample of cobalt with an initial temperature of 102°C after it loses 6800 J (The specific heat of cobalt is 0.421 J/g°C).

A) 84.2°C
B) 126.4°C
C) 78.1°C
D) 96.3°C

Answer 1

Using the specific heat capacity formula, the final temperature of a cobalt sample can be calculated after it loses a certain amount of heat. The specific heat capacity, mass of the cobalt, initial temperature, and energy lost are the necessary variables for this calculation.

Step-by-step explanation:

The question involves calculating the final temperature of a cobalt sample after it loses energy. The specific heat equation Q = mcΔT is used, where Q is the heat energy transferred, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.

To find the final temperature, the formula is rearranged to Tfinal = Tinitial - (Q / (mc)). Plugging in the values: Tfinal = 102°C - (6800 J / (73.1 g × 0.421 J/g°C)). After calculation, the final temperature is determined to be lower than the initial temperature, indicating that heat was lost from the cobalt to its surroundings.