Question

Hot water is mixed with an amount of ice having an equal mass to that of the water
and an initial temperature of 0 °C. What should the initial temperature of the hot water be to
achieve a final water temperature of 5 °C with all the ice melted? The specific heat capacity of
water is 4.2 kJ/(kg K) and the specific latent heat of fusion for ice is 334 kJ/kg. Assume that no
heat is lost to the surroundings.

Answer 1

hey, that's physics

Answer 2

so?

Answer 3

the physics study group is DEAD.

Answer 4

Although I love physics, I still get lost in it ^^"

Answer 5

Okay, maybe I can help out with the steps?

Answer 6

first set the given on one side and RTF (required to find ) on the other side
then write down the formulas you know about Heat Capacity

Answer 7

ok

Answer 8

I'll write them down on paper first.

Answer 9

wait , there's something wrong in the question , you said that Tinitial = 0 C and you want to find it again?

Answer 10

no, read the question carefully, the initial temp is for the ice, not water

Answer 11

okay

Answer 12

I think I've got the relationship

Answer 13

Since the mass of ice = the mass of water then
M (ice) = M (water) ,

For ice : Q = mL
For water : Q = mC(Tf - Ti )

so solve for m :

M (ice) = Q/L
M(water) = Q/C(Tf-Ti)

since M(ice) = M(water), then:

Q/L = Q/C(Tf-Ti)

did you end up with this relationship andy?

Answer 14

something like that, but i think you made it more clear, i get it better now

Answer 15

glad I could help :) good luck!

Answer 16

thanks

Answer 17

np :)