# Reversible Isothermal Expansion Steam

• zwambooo
In summary, the problem involves a reversible isothermal expansion of 2kgs of steam at 500 degrees Celsius, with a pressure drop from 300 kpa to 200 kpa. The heat absorbed by the steam during this process can be calculated using the ideal gas law, which states that the volume ratio is equal to the pressure ratio for an isothermal process. Therefore, the heat absorbed can be calculated using the formula W=nRT*ln(p1/p2).
zwambooo

## Homework Statement

2kgs (total mass) of steam goes through a revesible isothermal expansion at 500 degrees celcius. During the expansion the pressure drops from 300 kpa to 200 kpa.
What is the heat absorbed by the steam during this process?

## Homework Equations

U=W and W=nrt ln(v2/v1)

## The Attempt at a Solution

Steam cannot be assumed to be an ideal gas atleast to my knowledge. When I google Reversible Isothermal Expansion all i get is that W is given by, nRT*ln(v2/v1). I cannot imagine the W=nRT*ln(v2/v1) being used in this specific problem. This formula would not give a numerical answer anyway, because the problem states no information about volumes.In a isothermal expansion: there is no change in internal energy so it is 0, and the work is done by the system so W is positive Q=+W.. So how do i calculate this W(heat absorbed by the steam) inthis case? is there any magical formula:)

thank you for all input:)!

Under these conditions, steam can be approximated as an ideal gas. What does the ideal gas law tell you about the volume ratio of the process is isothermal and you know the pressure ratio?

Chestermiller said:
Under these conditions, steam can be approximated as an ideal gas. What does the ideal gas law tell you about the volume ratio of the process is isothermal and you know the pressure ratio?
ahhh, so (v2/v1) = (p1/p2)? so W=nRT*ln(p1/p2) in this case

Chestermiller

## 1. What is reversible isothermal expansion steam?

Reversible isothermal expansion steam is a thermodynamic process in which the steam undergoes a change in volume at a constant temperature, without any energy loss or gain. This process is reversible, meaning that the steam can be returned to its original state without any changes to its surroundings.

## 2. What is the significance of reversible isothermal expansion steam?

Reversible isothermal expansion steam is significant because it is an efficient way to convert heat energy into mechanical work. This process is commonly used in steam engines to produce power, as well as in refrigeration and air conditioning systems.

## 3. How is reversible isothermal expansion steam different from other thermodynamic processes?

Reversible isothermal expansion steam is different from other thermodynamic processes, such as isobaric or adiabatic processes, because it involves a constant temperature. In contrast, isobaric processes occur at a constant pressure and adiabatic processes occur without any heat exchange with the surroundings.

## 4. What are the factors that affect reversible isothermal expansion steam?

The main factors that affect reversible isothermal expansion steam are the initial and final volumes of the steam, the temperature at which the process occurs, and the pressure applied to the steam. The properties of the steam, such as its specific volume and enthalpy, also play a role in this process.

## 5. What are some real-world applications of reversible isothermal expansion steam?

Reversible isothermal expansion steam has many practical applications, including in power generation, refrigeration and air conditioning, and industrial processes. It is also used in the production of electricity from renewable energy sources, such as geothermal and biomass power plants. Additionally, reversible isothermal expansion steam is used in steam turbines to drive ships and locomotives.

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