# Physics

posted by .

a 35 g ice cube at 0.0 C is added to 110 g of water in a 62 g aluminium cup. The cup and the water have an initial temperature of 23 C . Find the equilibrium temperature of this system? in Celsius ,, I've been trying to solve this for 2 hours now , and I still can't get the answer ,, help please ?

• Physics -

The sum of the heats gained equals zero (yes, the substance losing heat is negative).

sum heats gained=0
35*Hfice+62(Calum)*(Tf-0)+35(Cwater)(Tf-0)+ 110*Cwater(Tf-23)=0

solve for Tf.

• Physics -

Assume all of the ice melts. (If it doesn't you will find out later when you compute the final temperature).

Look up the specific heat of aluminum. It is 0.22 cal/C gm

Assume the heat lost by the water and aluminum when being lowered to final temperature T equals the heat gained by the ice when melting and rising to the same temperature T. Solve for T .

( 110*1.0 + 62*0.22)*(23 - T) = 35*(80 + 1.0*T)

The 1.0 numbers are specific heats of water and 80 cal/g is the latent heat of fusion of ice

If you get a negative T (in C) , all of the ice did not melt.

• Physics -

Thanx I will try it out

## Similar Questions

1. ### Physics

3. The quantity 0.850kg of ice at -20 degrees Celsius is added to 1.100kg of water in an aluminum Calorimetry cup at 7 degrees Celsius. The mass of the Calorimetry cup is 0.250kg. Use your knowledge of specific heats and latent heats …
2. ### physics

A 240 g ice cube at -10 C is placed in an aluminum cup whose initial temperature is 70 C. The system comes to an equilibrium temperature of 20 C. What is the mass of the cup?
3. ### physics

A 29 g ice cube at 0.0°C is added to 110 g of water in a 62 g iron cup. The cup and the water have an initial temperature of 25°C. (a) Find the equilibrium temperature of the cup and its contents. i don't understand how the iron …
4. ### chemistry

Data collected from the calorimetry of a metal mass of the metal = 110.62g initial temperature of the water in the cup = 23.0 C initial temperature of the metal in the boiling water = 99.02 C final temperature of the metal AND water …
5. ### physics

A 50g ice cube is added to 110g of water in a 62g aluminum cup. The water and cup initially have a temperature of 23°C. Find the initial temperature of the ice cube such that all of the water is just turned to ice. Use the following …
6. ### Physic

If 0.045 kg of ice at 0 C is added to 0.390 kg of water at 34 C in a 0.150 kg aluminum calorimeter cup, what is the final temperature of the water?
7. ### victor.M

What is the resulting temperature when a 150g cube of ice at zero degrees is added to 200g of water in a aluminium cup at 30 degrees
8. ### physics

What is the resulting temperature when a 150g cube of ice at zero degrees celsius is added to 200g of water in a 100g aluminium cup at 30degrees celsius.
9. ### chemistry

Suppose you add a small ice cube to room temperature water in a coffee cup calorimeter. What is the final temperature when all the ice is melted?
10. ### science

Ice cubes of total mass 6.00 grams have temperature -4.0°C. Then they are placed in 50.0 grams of water at 20.0°C in an insulated foam cup. What is the equilibrium temperature of the water inside the cup?

More Similar Questions