a gas is compressed and during this process the surroundings do 36.4 j of work on the gas. at the same time, the gas loses 242 j of energy to the surroundings as heat. what is the change in the internal energy of the gas?

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31-10-2022
Physics

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a gas is compressed and during this process the surroundings do 36.4 j of work on the gas. at the same time, the gas loses 242 j of energy to the surroundings as heat. what is the change in the internal energy of the gas?

Answer :

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contexto1025 contexto1025 · Answer 1 · 2022-11-04T15:52:15-04:00

By using the concept of thermodynamics, change in internal energy of gas is -205.4J.

In thermodynamics, when gas is compressed intermolecular distance between the gas molecules starts decreasing, due to that collision among the molecules starts increasing ,and system tries to achieve stability due to that it starts loosing some energy.

Now we know very well that change in internal energy(Δ U) is actually sum of heat change(Δq) from the system to surroundings and vice versa and w is the work done on/by the system to achieve stability.

So gas is releasing energy, therefore Δq= -242J

and work is done on the gas=w=36.4J

Therefore,ΔU=Δq+w

ΔU=-242+36.4

ΔU=-205.4J

Here, negative denotes change in internal energy is negative means final internal energy will be lesser than initial internal energy.

Hence change in internal energy of the gas is 205.4J

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