Q.

In the given graph, an ideal gas can change its state from A to C by two paths ABC or AC. Taking, the internal energy of gas at ‘A’ is 10 J, mark the CORRECT option(s)

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a

The amount of heat supplied in path AC is 200 J, then the internal energy of gas at ‘C’ is 150 J.

b

The amount of heat supplied in path AC is 200 J, then the internal energy of gas at ‘C’ is 75 J.

c

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

answer is A.

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Detailed Solution

In path  A→CW=4×10+12×10×4=40+20=60  J Q=ΔU+W 200=UC−UA+60  UC=140+UA=140+10=150  JIn path  A→BQAB=UB−UA =UB1−UAUB=UB1−TATB =201−12=10 Joule
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In the given graph, an ideal gas can change its state from A to C by two paths ABC or AC. Taking, the internal energy of gas at ‘A’ is 10 J, mark the CORRECT option(s)