A 100g piece of ice at 0 degrees celcius is placed into a container holding 200g of water, initially at temperature 25 degrees celcius. Heat flows from the water to the ice, cooling the water and melting the ice. Calculate

a) how many moles of ice and how many moles of water are present
b) how much heat flows out of the water in cooling to 0 degrees celcius
c) how many moles of ice are melted by this added heat

I am trying to find an equation to start this problem, but am having trouble doing so. I think that, once I determine the euqation(s), I should be able to solve the problem.

To solve this problem, you can use the specific heat capacity equation and the heat of fusion equation. Here's how you can approach each part of the problem:

a) To find the number of moles of ice and water present, you need to use the molar mass of water, which is approximately 18 g/mol.

Moles of ice = mass of ice / molar mass of water
Moles of ice = 100 g / 18 g/mol

Moles of water = mass of water / molar mass of water
Moles of water = 200 g / 18 g/mol

b) To calculate the amount of heat that flows out of the water as it cools to 0 degrees Celsius, you can use the equation:

q = m * C * ΔT

Where:
q = heat energy (in joules)
m = mass of water (in grams)
C = specific heat capacity of water (approximately 4.18 J/g°C)
ΔT = change in temperature (final temperature - initial temperature)

In this case, the initial temperature is 25 degrees Celsius, and the final temperature is 0 degrees Celsius. Therefore:

ΔT = 0°C - 25°C = -25°C

Substituting the values:

q = 200 g * 4.18 J/g°C * (-25°C)

c) To determine the number of moles of ice melted by the added heat, you can use the equation:

q = moles of ice * ΔH_fusion

Where:
q = heat energy (in joules)
moles of ice = unknown
ΔH_fusion = heat of fusion of ice (approximately 334 J/g)

Using the value of heat energy obtained in part (b), you can solve for moles of ice:

q = moles of ice * 334 J/g

Now, with these equations, you can solve the problem by plugging in the appropriate values and calculating the results.