# Exercises on isothermal transformation

On this page you will find a collection of exercises on isothermal transformation.

In isothermal transformations the temperature of the system remains constant, that is, the system undergoes a transformation (such as expansion or compression) without its temperature changing. As we shall see, this implies that the change in internal energy of the system is zero during the isothermal transformation. In order to perform an isothermal transformation, it is necessary to keep the system in thermal contact with a heat or cooling source so that the temperature remains constant.

These exercises on isothermal transformation are mainly aimed at high school, high school and three-year students, but anyone interested in the subject can benefit from them!

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## Solved exercises

### On the work of an isothermal transformation

A diatomic perfect gas yields Of heat at a constant temperature.

- Calculate the work done by the gas

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### On the calculation of moles of a monatomic perfect gas

A perfect monatomic gas in contact with a reservoir at constant temperature undergoes isothermal compression by yielding of heat. If after compression the final volume of the gas has become three times smaller than the initial volume.

- Calculate the number of moles

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### On the calculation of the temperature of a monatomic perfect gas

Two moles of monatomic perfect gas in contact with a constant-temperature reservoir undergoes isothermal expansion by absorbing . If after expansion the final volume of the gas has become twice the initial volume.

- Calculates the temperature of the gas

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### On the calculation of the volume of a monatomic perfect gas

A mole of monatomic perfect gas in contact with a reservoir at constant temperature undergoes an isothermal expansion by absorbing . If the initial volume is

- calculates the final volume

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### On the calculation of heat from Clapeyron's plane.

A mole of monatomic perfect gas undergoes an isothermal transformation that brings the gas from the state to the state . The gas is in contact with a heat source at a constant temperature

- Is the transformation a compression or an isothermal expansion?
- Calculate the heat exchanged during the transformation
- Is heat absorbed or given up by the gas?

[Isothermal compression; ; Sold]

### On the calculation of temperature from Clapeyron's plane

Two moles of monatomic perfect gas perform the isothermal expansion shown in the figure:

- Calculates the temperature in the state and in the state

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### On the calculation of pressure from Clapeyron's plane.

A mole of monoatomic perfect gas in contact with a heat source at constant temperature performs the isothermal expansion shown in the figure. If the amount of heat absorbed is equal to

- Calculate the pressure in the state and in the state

[; ]

### On the units of measurement in an isothermal transformation

Two moles of monatomic perfect gas are at an initial pressure . After being brought into contact with a heat source at a constant temperature, the gas absorbs an amount of heat equal to . If the final volume doubles compared to the initial volume

- Calculate the temperature of the heat source
- Calculate , e

[; ; ; ]

### On isothermal transformation and latent heat

moles of monoatomic perfect gas undergo isothermal compression after the gas has been placed in thermal contact with a heat source formed by of melting ice at temperature . If the initial volume of the gas is

- Calculate the final volume After all the ice has melted

[Hint: The latent heat of fusion of ice is. ]

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