Melting ice using latent heat and heat of fusion

  • Thread starter Navygal
  • Start date
  • #1
4
0

Homework Statement



What quantity of ice at 2 deg Celsius can be melted by 100 J of heat?


Homework Equations



q = m c (delta) t (mass x specific heat x change in temp)
q = m l (mass x heat of fusion)

specific heat of ice = 2.09 j/g-K
heat of fusion = 6.01 kJ/mol

The Attempt at a Solution



I've tried to solve this problem by combining both equations for the same q such that
q = mc(delta)t + ml which rearranges to:
q = m (c delta t + l)

solving for m: m = q/ (c delta t + l)

The part I got stuck is when I tried to solve for m since m is in grams, and the heat of fusion is in moles. Is there another way to solve this or am I missing something?
Any help would be greatly appreciated
 

Answers and Replies

  • #2
Ygggdrasil
Science Advisor
Insights Author
Gold Member
2019 Award
3,062
2,771
You can use the molecular weight of water (~18g/mol) to convert between grams and moles.
 

Related Threads on Melting ice using latent heat and heat of fusion

  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
530
  • Last Post
Replies
0
Views
6K
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
3
Views
13K
Replies
9
Views
7K
Replies
1
Views
4K
Replies
1
Views
4K
Replies
14
Views
18K
Replies
4
Views
6K
Top