how long would it take for ice filled water to reach 9 or 10 C?

Question

the water is half filled with ice....it's on a stove....what temprature would make the water reach 9 or 10 and how long would it take??

the water is half filled with ice....it's on a stove....what temprature would make the water reach 9 or 10 and how long would it take?? The water is cold and its on a stove fire

Answer 1

I wonder that too.

To figer this problem out we need to know a few things.
1. How much energy does itr take
2. How much energy is being lost to the environment
3. Howmuch energy is being added to the system

However what you are after is "how long would it take?" and that leads us to power

power = energy/time so
time= energy/power

Lets write some equations for energy

for water the etergy Q to bring water of mass m from Temperature T1 to temperature T2 is
Q=Cpm (T2-T1) where Cp - is specific heat of water

With ice it is a bit more complicated. We need heat to warm it up to its melting point say 0 C, then we need to melt it and then as with water above bring it from 0C to T2. Now we have

Qt=Q(ice) + Q(latent heat of fusion) + Q(water)
Q(ice)=Cp(ice)m (T2-T1)
Q(ice)=Cp(latentheat of fusion )m
Q(ice water)=Cp(water)m (T2-0)

We can assume that it alltakes place in a themally isolated environmen.

If the heat suplied at Q(heat)/t then

t= Qt/Q(heat)

Answer 2

you gave no starting tempurature so it is impossible to say...was the water boiling, lukewarm,...etc?