Thermodynamic Process for Ideal Gas – Rankers Physics

Kinetic Theory of Gases: Practice Problem & Solution

The internal energy of an ideal monoatomic gas increases by the same amount as work done on the gas, then:
The process should be adiabatic
The process should be isothermal
The process should be isochoric
The process should be isobaric

Solution Explained:

To solve this problem, we apply the core principles of Kinetic Theory of Gases. Understanding the underlying formula is key to arriving at the correct answer below:

By the first law, \(dQ = dU + dW\). If work is done on the gas, \(dW_{\text{by}} = -dW_{\text{on}}\). Given \(dU = dW_{\text{on}}\), so \(dQ = 0\). This represents an adiabatic process.

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