What will be the final temperature of a 10.0 g piece of iron (C_P = 25.09 J/(mol · °C)) initially at 25°C, if it is supplied with 9.5 J from a stove?

Question

Quizplus · Accepted Answer

The amount of energy supplied to the piece of iron can be calculated using the specific heat capacity formula:

q = mCΔT

where q is the energy supplied, m is the mass of the iron, C is the specific heat capacity of iron, and ΔT is the change in temperature.

Rearranging the formula and plugging in the given values, we get:

ΔT = q / (mC) = 9.5 J / (10.0 g * 25.09 J/(mol · °C)) = 0.01512 mol · °C / g

Thus, the final temperature change is:

ΔT = Tfinal - Tinitial

Tfinal = Tinitial + ΔT = 25°C + 0.01512 mol · °C / g = 27°C

Therefore, the final temperature of the piece of iron is 27°C, which corresponds to choice B.

What Will Be the Final Temperature of a 10