Calculate Equilibrium Temperature

  • Thread starter McDonell
  • Start date
  • #1
11
0

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


Homework Equations



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
 

Answers and Replies

  • #2
gneill
Mentor
20,925
2,867
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).
 
  • #3
Simon Bridge
Science Advisor
Homework Helper
17,873
1,655
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
 

Related Threads on Calculate Equilibrium Temperature

  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
4
Views
4K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
6
Views
4K
  • Last Post
Replies
5
Views
10K
  • Last Post
Replies
13
Views
56K
  • Last Post
Replies
2
Views
9K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
2K
Top