Chemistry

A 32.5g cube of aluminum initially at 45.8 C is submerged into 105.3g water at 15.4 C. What is the final temp of both substances at thermal equilibrium. Assume the al and the H2O are thermally isolated from everything else)

Specific heat cap Al= .903
Specific heat cap H2O= 4.18
I understand this problem but In my math i get to:
(DeltaT) Al = -14.998 X (DeltaT) H2O
And im lost. Anyone able to explain the completion of the problem? Any help is greatly appreciated

1. 👍
2. 👎
3. 👁
1. You need to use Tfinal-Tinitial for delta T.
heat lost by Al + heat gained by water=0
[mass Al x specific heat Al x (Tfinal-Tinitial)] + [mass H2O x specific heat H2O x (Tfinal-Tinitial)] = 0
Substitute and solve for Tf.

1. 👍
2. 👎
2. I'm having trouble once i get to

T(final)=-14.998 X T(final) + 14.998 X T(initial h2o) + T(initial Al)

Any suggestions?

1. 👍
2. 👎
3. Yes. I think it is tough to try to manipulate the algebra. It is much easier to substitute the numbers first and manipulate them.
[32.5 x 0.903 x (Tf-45.8)]+[105.3 x 4.18 x (Tf-15.4)] = 0
29.35Tf - 1344.1 + 440.15Tf - 6778.4 = 0
Check those numbers to make sure I didn't make an error on my calculator, then solve for Tf.

1. 👍
2. 👎
4. Thank you so much DrBob!

I ended up with

469.5Tf = 8122.54
Tf = 17.3

Thanks again,
-Phil

1. 👍
2. 👎

Similar Questions

1. chemistry

A 32.2 g iron rod, initially at 22.3 C, is submerged into an unknown mass of water at 63.9 C, in an insulated container. The final temperature of the mixture upon reaching thermal equilibrium is 58.6 C. What is the mass of the

2. physics

A 0.10 kg piece of copper at an initial temperature of 95degC is dropped into 0.20 kg of water contained in a 0.28 kg aluminum calorimeter. The water and calorimeter are initially at 15degC. What is the final temperature of the

3. Chemistry 101

Aluminum reacts with sulfur gas to form aluminum sulfide. Initially 1.18 ml of aluminum and 2.25mol of sulfur are combined. 1. write a balanced equation? 2. what is the limiting reaction? 3. what is the theoretical yield of

4. chem

Suppose you have two 100-mL graduated cylinders. In each cylinder there is 40.0mL of water. You also have two cubes: one is lead, and the other is aluminum. Each cube measures 2.0cm on each side. After you carefully lower each

1. Chemistry

The density of aluminum is 2.70g/cm3. If a cube of aluminum weighs 13.5 grams whatis the length of the edge of the cube. I need help with the formula to figure this one out.

2. Physics

A 95.1-g ice cube is initially at 0.0°C. (a) Find the change in entropy of the cube after it melts completely at 0.0°C. Hint: The latent heat of fusion for water is 3.33 105 J/kg. answer in J/kg (b) What is the change in entropy

3. physics

1. A 0.400 kg sample of aluminum (c = 9.20 x 102 J/kg°C) at 95.0 °C is dropped into a 0.550 kg pot of water which is at 18.0 °C. What temperature will the mixture come to? 2. How much thermal energy is absorbed by a 0.0220 kg

4. math-need help

A right rectangular tank with a 12 unit by 8 unit base is filled with water to a depth of 5 units. The water rises 1.5 units when a solid cube is completely submerged in the tank. In simplest radical form, the edge of the cube is

1. Physics

A cube of ice is taken from the freezer at -8.8°C and placed in a 103 g aluminum calorimeter filled with 321 g of water at room temperature of 20°C. The final situation is observed to be all water at 15°C. What was the mass of

2. science

Density Calculations Density is the mass of an object per unit volume. In this lab, you will be gathering data on the mass and volumes of objects, calculating their densities, and using their density to identify the object. [Block

3. Physics

What is the likely identity of a substance (see Table 10-1) if a sample has a mass of 9.38 g when measured in air and an apparent mass of 8.55 g when submerged in water? A)Copper B)Iron or steel C)Aluminum D) Lead E)Concrete

4. Physics

A cube of oak with sides 15cm long floats upright in water with 10.5cm of its depth submerged. What is the density of the oak?