How Much Steam Is Needed to Melt Ice into Water at 20 Celsius?

[engineer2010]

Homework Statement

What mass of steam at 100 Celcius must be added to 1.00 kg of ice at 0 Celcius to yield liquid water at 20 Celcius.

Homework Equations

Q = mL
Q = mc(deltaT)
change in energy = 0

The Attempt at a Solution

Ice
m= 1.00
c = 2100
T1 = 0
Tf =
L = 333

water
m=
c = 4190
T1 =
Tf= 20

Steam
m = ?
c = 2010
L = 2260
T1 = 100
Tf =

I am stil missing some of the needed information and i am not sure how to organize my equations.

 

[Shooting Star]

Divide into two parts.

How much heat is needed to melt the ice?

How much heat is needed to raise the temp of this water from 0 C to 20 C?

This whole heat is supplied by a certain amount of steam, which first gives up the latent heat of evaporation, and then cools from 100 c to 20 C. Equate this to the sum of the first two.

(Remember, there are two kinds of latent heat involved here. Don't mix them up)