a 5.00g sample of Al pellets (specific heat=0.89J/oC*g) and a 10.00g sample of Fe pellets (specific heat=0.45J/oC*g) are heated to 100.0oC. The mixture of hot iron Al is then dropped into 92.1g of water at 21.8oC. Calculate final temp of metal and water mixture, assuming no heat loss to surroundings.

how do I even start this and what equation would I use?

are there any good sites that have plenty of example problems with solutions for an observation learner?

I don't know of a site. Two things you need to know.

heat lost + heat gained = 0
and
mass x specific heat x delta T = heat lost or gained by anything.

so.
heat lost by Al + heat lost by Fe + heat gained by water = 0
heat lost by Al = mass x specific heat x (Tf - Ti) where Tf is final T and Ti is initial T.

heat lost by Fe = mass x specific heat x (Tf - Ti).

heat gained by water = mass x specific heat x (Tf - Ti)

You know mass Fe, Al, and water.
You know specific heat Fe, Al and water.
You know initial T (Ti) of Fe, Al, and water.
Tf for all are the same. Solve for Tf. That's the only unknown.

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Which has the largest capacity of heat? aluminum 150g, iron 250g, and lead 350g

To solve this problem, you can use the principle of conservation of energy. The heat gained by the water and the metal should be equal to the heat lost by the metal. The equation you can use is:

(metal mass) * (metal specific heat) * (change in metal temperature) = (water mass) * (water specific heat) * (change in water temperature)

Here's how you can start solving the problem step by step:

1. Calculate the heat gained by the metal:
Heat gained by the metal = (metal mass) * (metal specific heat) * (change in metal temperature)
The metal mass is the sum of the masses of Al and Fe, which is 5.00g + 10.00g = 15.00g.

2. Calculate the heat lost by the metal. Since the metal is cooling down, the change in metal temperature will be (final metal temperature - initial metal
temperature), where the initial temperature is 100.0oC.

3. Calculate the heat gained by the water. This can be found using the specific heat of water, which is approximately 4.18 J/g*oC (this value is commonly used).

4. Calculate the change in water temperature. This can be found using the same equation as step 1, but with the heat gained by the water and the water's specific heat.

5. Set the heat gained by the metal equal to the heat gained by the water and solve for the final metal and water temperature. Rearrange the equation from step 1 and step 4 to solve for the final temperatures.

Unfortunately, as an AI language model, I don't have access to specific websites or resources, but there are numerous educational websites and textbooks that provide example problems with solutions for learners. Some examples include Khan Academy, Coursera, and textbooks on thermodynamics or general chemistry. Additionally, you can try searching for specific topics or concepts on search engines like Google or YouTube to find example problems and solutions.