How much thermal energy is released when 500g of steam at 100 degrees C condenses into liquid water and then cools to 50 degrees C?

Question

I tried to solve q=mct for q and then use that in the q=mLv formula but it didn't work. The answer is 1.3x10^6J

Help would be appreciated! Thank you

Answer 1

you use the right relations.
heat=.5kg(cwater)(50)+.5kg*Lv

make certain you use cwater in kJ/kg, and Lv in kJ/kg