Thermodynamic Processes: An ideal gas is compressed isothermally to one-third of its initial volume. The resulting pressure will be

The resulting pressure is 3 times the initial pressure.

Explanation:

The equation of state for ideal gases is described below:

(1)

Where:

- Pressure.

- Volume.

- Molar quantity, in moles.

- Ideal gas constant.

- Temperature.

Given that ideal gas is compressed isothermally, this is, temperature remains constant, pressure is increased and volume is decreased, then we can simplify (1) into the following relationship:

(2)

If we know that , then the resulting pressure of the system is:

The resulting pressure is 3 times the initial pressure.

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