A 14.0 gram sample of iron is initially at 414.0 °C. It loses 186.0 J of heat to its surroundings. What is its final temperature?

=384.48°C

Explanation:

Change in enthalpy is negative because heat energy is lost to the surroundings.

Change in enthalpy = mass * specific heat capacity * Change in temperature.

ΔH=MC∅

m=14grams

C of iron = 0.45 J/g°C

∅=?

186.0J = 14.0g * 0.45J/g°C*∅

186=6.3∅

∅=29.5°C

Final temperature = 414.0°C - 29.52°C

=384.48°C