# Calculate Equilibrium Temperature

## Homework Statement

A 1kg of ice at -30° C is added to 10 kg of steam at 500°C. answer the following questions: a) What is the final phase of the system of ice + steam if no heat escaped from it.
b) What is the final temperature when the equilibrium is established

Q= mc (delta) T
Q= mL

## The Attempt at a Solution

I am assuming that the final phase will be steam.

I have tried multiple times, but I cannot seem to get the answer. I know that

Q(-30 --> 0) + Q (ice fusion) + Q(0 --> 100) + Q(heat of vaporization) + Q(Tf - 100) = Q(Tf - 500).

Any help would be greatly appreciated

gneill
Mentor
Why don't you start by showing your calculated values for the various heats that you know (the individual terms of the expression you wrote).

Simon Bridge
Homework Helper
I am assuming that the final phase will be steam.
What is your reasoning for this?
(May be a fair bet for the masses involved - but you shouldn't be guessing.)

L_{v}=2252kJ/kg
L_{m}=144kJ/kg
C_p = 4.2kJ/kgK (approx 0 - 100C)
for steam (100C+) it can vary a LOT.
http://www.engineeringtoolbox.com/water-thermal-properties-d_162.html