A piston is slowly pushed into a metal cylind | vedclass

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(C) When a piston is pushed slowly into a metal cylinder containing an ideal gas,the process is considered isothermal because the heat generated by co

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The average speed of gas molecules increases.

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(C) When a piston is pushed slowly into a metal cylinder containing an ideal gas,the process is considered isothermal because the heat generated by compression can escape through the metal walls to maintain thermal equilibrium with the surroundings. For an isothermal process,the temperature $T$ remains constant. Since $T$ is constant,the average speed of gas molecules,which depends only on temperature $(v_{avg} = \sqrt{\frac{8RT}{\pi M}})$,remains constant. Therefore,statement $C$ is incorrect. Statements $A$,$B$,and $D$ are correct because as volume $V$ decreases,pressure $P$ increases (Boyle's Law),the number density $n/V$ increases,and the collision frequency increases due to higher density and pressure.

$A$ piston is slowly pushed into a metal cylinder containing an ideal gas. Which of the following statements is/are incorrect?

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