For free expansion of the gas which of the following is true ? (A) Q=0, W>0 and μEint=-W (B) W=

step 1 Hello in the question it is given that for free expansion of the gas which of the following is t

For free expansion of the gas which of the following is true...

For free expansion of the gas which of the following is true ? (A) $\mathrm{Q}=0, \mathrm{~W}>0$ and $\mu \operatorname{Eint}=-\mathrm{W}$ (B) $\mathrm{W}=0, \mathrm{Q}>0$ and $\Delta$ Eint $=\mathrm{Q}$ (C) $\mathrm{W}>0, \mathrm{Q}<0$ and $\Delta$ Eint $=0$ (D) $\mathrm{Q}=\mathrm{W}=0$ and $\Delta \operatorname{Eint}=0$

For free expansion of the gas which of the following is true ?
(A) $\mathrm{Q}=0, \mathrm{~W}>0$ and $\mu \operatorname{Eint}=-\mathrm{W}$
(B) $\mathrm{W}=0, \mathrm{Q}>0$ and $\Delta$ Eint $=\mathrm{Q}$
(C) $\mathrm{W}>0, \mathrm{Q}<0$ and $\Delta$ Eint $=0$
(D) $\mathrm{Q}=\mathrm{W}=0$ and $\Delta \operatorname{Eint}=0$

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Key Concepts

Work and Heat Transfer

Work and heat transfer are the two primary modes of energy exchange in thermodynamic processes. In free expansion, no work is done because the gas expands against zero external pressure, and no heat is transferred, leading to no change in the internal energy of the system.

Free Expansion

Free expansion is a thermodynamic process in which a gas expands without performing work on the surroundings because it expands into a vacuum or a region with no opposing pressure. In such a process, there is no external pressure, and therefore no work is done by the gas during the expansion.

First Law of Thermodynamics

The first law of thermodynamics is the principle of energy conservation in a thermodynamic system, stating that the change in internal energy equals the heat added to the system minus the work done by the system. This law helps determine the energy changes during any process, including free expansion.

Internal Energy

Internal energy is the total energy contained within a system, including the kinetic and potential energies of its particles. In processes like free expansion for an ideal gas, the internal energy remains constant because there is no heat transfer and no work is done on or by the system.

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