Two moles of an ideal gas have an initial Kelvin temperature Tᵢ and absolute pressure Pᵢ.The gas undergoes a reversible isothermal compression from an initial volume Vᵢ to a final volume 0.5Vᵢ.
-Which one of the following expressions represents the final pressure of the gas?

Question

Quizplus · Accepted Answer

For an isothermal process, the ideal gas law (PV = nRT) indicates that the product of pressure and volume remains constant because the temperature (T) and the amount of gas (n) do not change. Therefore, if the volume is halved (V_final = 0.5V_initial), the pressure must double to maintain the constant product, making the final pressure 2Pᵢ.

Two Moles of an Ideal Gas Have an Initial Kelvin