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n Ideal gas follows Boyle’s law while Expanding against vacuum, the system isA     Thermally InsulatedB     Not-thermally insulatedC     Partially insulated D     None

Question

n Ideal gas follows Boyle’s law while Expanding against vacuum, the system isA     Thermally InsulatedB     Not-thermally insulatedC     Partially insulated D     None

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Solution

The answer is A. Thermally Insulated.

Boyle's law, which states that the pressure and volume of a gas have an inverse relationship when temperature is held constant, is applicable to an ideal gas. When a gas expands against a vacuum, there is no external pressure acting on the gas. Therefore, the work done by the system is zero.

In a thermally insulated system, there is no exchange of heat with the surroundings. This means the process is adiabatic. In an adiabatic process, the internal energy of the system changes by the amount of work done. Since the work done is zero, the internal energy of the system remains constant. This is consistent with Boyle's law, which assumes that temperature (and therefore internal energy) is constant.

Therefore, when an ideal gas expands against a vacuum, the system can be considered thermally insulated.

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