Answer:
To find the final temperature of the iron piece, we can use the equation:
q = m * Cs * ΔT
Where:
q is the heat energy transferred to the iron piece (9.50 J in this case),
m is the mass of the iron piece (10.0 g),
Cs is the specific heat capacity of iron (0.449 J/(g.°C)),
ΔT is the change in temperature.
Rearranging the equation, we can solve for ΔT:
ΔT = q / (m * Cs)
Substituting the given values:
ΔT = 9.50 J / (10.0 g * 0.449 J/(g.°C))
Calculating the value:
ΔT = 21.38 °C
To find the final temperature, we add the change in temperature to the initial temperature:
Final temperature = Initial temperature + ΔT
Final temperature = 25.0 °C + 21.38 °C
Final temperature = 46.38 °C
Therefore, the final temperature of the iron piece will be approximately 46.38 °C.