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In the given an ideal gas can change its...

In the given an ideal gas can change its state from `A` to `C` by two paths `ABC` or `AC`. Then

A

If the internal energy of gas `'A'` is `10J` and the amount of heat supplied in path `AC` is `200J`, then the internal energy of gas at `'C'` is `150J`

B

If the internal energyof gas at `'A'` is `10J` and the amount of heat supplied in path `AC` is `200J`, then the internal energy of gas at `'C'`is `75J`

C

If the internal energy of gas a state `B` is `20J`. Then the amount heat supplied to the gas to go from `A` to `B` may be 5 Joule.

D

If the internal energy of gas at state `B` is `20J`. Then the amount of heat supplied to the gas to go from `A` and `B` must be 10 Joule

Text Solution

Verified by Experts

The correct Answer is:
A, D
In path `AtoC`
`dW=4xx10+1/2xx10xx4+20=60J`
`dQ=dU+dW`
`200=U_(c)-U_(A)+60`
`U_(c)=U_(c)-U_(A)+60`
`U_(c)=140+U_(A)=140+10=150J`
In path `AtoB`
`Q_(AB)=U_(B)-U_(A)`
`=U_(B)(1-(U_(A))/(U_(B)))=U_(B)(1-(T_(A))/(T_(B)))`
`=20 (1- 1/2)=10` Joule
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