8.0 moles of an ideal monatomic gas expand adiabatically, performing 8000 j of work in the process. what is the change in temperature of the gas during this expansion? (r

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20-12-2022
Chemistry

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8.0 moles of an ideal monatomic gas expand adiabatically, performing 8000 j of work in the process. what is the change in temperature of the gas during this expansion? (r

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jaiswalsaurabh45609 jaiswalsaurabh45609 · Answer 1 · 2022-12-23T03:53:32-05:00

The change in temperature of the gas during expansion will be -80.18 K.

A volume of gas is held in one side of a thermally isolated container (via a small partition) during the Joule expansion (also known as free expansion), an irreversible process in thermodynamics, while the other side of the container is evacuated. The gas must send some energy to the surroundings when it expands against an external pressure. As a result, the gas's overall energy is reduced by the negative work.

So change in Temperature,

ΔU = Q - W

= 0 - W

= -W = -8000 J

[tex]U= \frac{3}{2} nRT[/tex]

ΔT= [tex]\frac{2*(-8000)}{3*8*8.314}[/tex]

= -80.18 K

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