# How much water is converted to ice?

• L_landau
In summary, the conversation discusses a scenario where a sample of liquid water and ice are placed in a thermally insulated container with a device that transfers energy from the water to the ice at a constant rate. The temperatures of the water and ice are given as functions of time, and the goal is to determine the rate of energy transfer, initial mass of the ice, and mass of ice produced. The relevant equations are Q = mcΔT and P = Q/t. The solution involves setting the total energy transfer equal to the mass of water turned into ice, which may raise questions about whether some of the energy should go into lowering the temperature of the water first. Further details of the calculations are needed to fully understand the reasoning.
L_landau

## Homework Statement

A 0.530 kg sample of liquid water and a sample of ice are placed in a thermally insulated container. The container also contains a device that transfers energy as heat from the liquid water to the ice at a constant rate P, until thermal equilibrium is reached. The temperatures T of the liquid water and the ice are given in Fig. 18-35 as functions of time t; the horizontal scale is set by ts 80.0 min. (a) What is rate P? (b) What is the initial mass of the ice in the container? (c) When thermal equilibrium is reached, what is the mass of the ice produced in this process?

Q = mcΔT[/B]
P = Q/t

## The Attempt at a Solution

Hi, I already know the answer to all three parts, but my question is this: Why, for part (C), when finding the mass of water that turns into ice, do I set the total energy transfer (P*ts = 37W/s * 4800s = 177,600 J equal to the mass of water turned into ice (mw*LF)? Shouldn't some of this total energy go into lowering the temperature of the water first?

Let's see the details of your calculations.

## 1. How does water turn into ice?

Water turns into ice through a process called freezing, where the molecules in water slow down and form a solid crystalline structure.

## 2. What temperature does water turn into ice?

Water turns into ice at a temperature of 32°F (0°C) or below.

## 3. Can all types of water turn into ice?

Yes, all types of water, including tap water, distilled water, and saltwater, can turn into ice when the temperature drops below 32°F (0°C).

## 4. How much water is needed to make a certain amount of ice?

The amount of water that is converted to ice depends on the temperature and pressure conditions. Generally, one gram of water equals one gram of ice.

## 5. Does the amount of water affect the rate of ice formation?

Yes, the more water there is, the longer it will take for all of it to freeze. This is because the heat energy in the water needs to be removed before it can turn into ice.

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