# Isobaric heating to find volume and temperature

• marcas3
In summary, the problem involves initially 2 kg of water at 250 Celsius and saturated liquid state, being isobarically heated until it all converts to saturated vapor. The specific volume of the saturated liquid is .001252 m^3/kg and the initial pressure is 3976.2 kPa. The final temperature and volume are needed, but finding the final specific volume is proving difficult as the process is not isothermal.
marcas3

## Homework Statement

Initially, 2 kg of water is at 250 Celsius and it exists as a saturated liquid. It is now isobarically heated until all of it is converted to saturated vapor. Find final temperature and volume.

## Homework Equations

Thermodynamic tables and the use of interpolation.

## The Attempt at a Solution

Since the process is isobaric, it is heated at a constant pressure. Next, using thermodynamic tables, the specific volume of the saturated liquid (v_f) is .001252 m^3/kg and the initial pressure is 3976.2 kPa at 250 Celsius. To find actual initial volume we just divide the specific volume by the mass (2 kg).

Trouble I am having is finding the final temperature and final specific volume (now I am looking for v_g since the water now exists as a saturated vapor). I thought about using the pressure table to find v_g and temperature but this doesn't make sense to me because then it seems the final temperature would be the same as the initial temperature, which I don't think is possible since this process is not isothermal. Please help.

As long as there is water present (and pressure is constant) process is also isothermic - temperature will go up once there will be no water to boil up and consume added heat.

Name 'latent heat' didn't came from nowhere.

## 1. What is isobaric heating and how is it used to find volume and temperature?

Isobaric heating is a process in which a substance is heated at a constant pressure. This can be used to find the volume and temperature of the substance by using the ideal gas law, PV=nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

## 2. Why is isobaric heating an important method in scientific research?

Isobaric heating allows for precise control of pressure and temperature, making it a valuable tool in scientific research. It can be used to study the behavior of gases, liquids, and solids under different conditions, and is often used in experiments to understand thermodynamic properties of materials.

## 3. Can isobaric heating be used on all substances?

No, isobaric heating can only be applied to substances that follow the ideal gas law. This means that the substance must be a gas at the given temperature and pressure, and must not undergo any chemical reactions or phase changes during the heating process.

## 4. How does isobaric heating differ from isochoric heating?

Isobaric heating involves heating a substance at a constant pressure, while isochoric heating involves heating a substance at a constant volume. This means that in isobaric heating, the volume of the substance can change, while in isochoric heating, the volume remains constant.

## 5. Are there any risks associated with isobaric heating?

Yes, there are potential risks associated with isobaric heating, such as the potential for explosions if the pressure is not carefully controlled. It is important to follow proper safety protocols and use appropriate equipment when conducting experiments involving isobaric heating.

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