Question

The heat capacity of solid iron is 0.447 J/g˚C. If the same quantity of energy as in #3 were transferred to a 450 g chunk of iron at 20.˚C, what would be the final temperature?

a. 22.4 °C
b. 33.6 °C
c. 44.8 °C
d. 56.0 °C

Answer 1

To calculate the final temperature of iron after heat transfer, we would normally use the formula q = mc∆T. However, the actual quantity of heat energy transferred is needed to perform this calculation and is not provided in the question. If it were available, we would then be able to derive the final temperature given the specific heat capacity and initial temperature.

Step-by-step explanation:

To determine the final temperature of a 450 g chunk of iron when a certain quantity of energy is transferred to it, we use the formula q = mc∆T, where ‘q’ is the heat transferred, ‘m’ is the mass, ‘c’ is the specific heat capacity, and ∆T is the change in temperature. However, since the quantity of energy transferred (q) is not given in the question, we cannot calculate the final temperature. If the energy was provided, we would rearrange the formula to solve for the final temperature (T_final = q / (mc) + T_initial).

For example, if the energy transferred were given as 210,000 J (from a previous example), the equation to calculate the final temperature would be: T_final = 210,000 J / (450 g × 0.447 J/g°C) + 20 °C. After performing the calculation, we would compare the result with the provided options.