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An ideal gas goes from State A to state ...

An ideal gas goes from State A to state B via three different process as indicate in the `P-V` diagram.

If `Q_(2), Q_(3)` indicates the heat absorbed by the gas along the three processes and `DeltaU_(1), DeltaU_(2), DeltaU_(3)` indicates the change in internal energy along the three processes respectively, then

A

`Q_(1) gt Q_(2) gt Q_(3)` and `DeltaU_(1)= deltaU_(2)=DeltaU_(3)`

B

`Q_(3) gt Q_(2) gt Q_(1)` and `DeltaU_(1)=DeltaU_(2)=DeltaU_(3)`

C

`Q_(1)=Q_(2)=Q_(1)` and `DeltaU_(1) gt DeltaU_(2) gt DeltaU_(3)`

D

`Q_(3) gt Q_(2)Q_(1)` and `DeltaU_(1) gt DeltaU_(2) gt DeltaU_(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
In (figure). For all of three processes, initial and final states are the same. Therefore, change in internal energy is same i.e., `DeltaU_(1)= DeltaU_(2)= DeltaU+(3)`
As work done = area under `P-V` graph
`:. DeltaW_(1) gt DeltaW_(2) gt DeltaW_(3)`
As `Q= DeltaU+ DeltaW`
`:. Q_(1) gt Q_(2) gt Q_(3)`
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Knowledge Check

  • An ideal gas goes from state A to state B via three different processes as indicated in the P-V diagram. If Q_(1), Q_(2), Q_(3) indicate the heat absorbed by the gas along the three processes and Delta U_(1) , Delta U_(2), Delta U_(3) indicate the change in internal energy along the three processes respectively, then

    A
    `Q_(1) gt Q_(2) gt Q_(3)` and `Delta U_(1) = Delta U_(2) = Delta U_(3)`
    B
    `Q_(1) gt Q_(2) gt Q_(3)` and `Delta U_(1) = Delta U_(2) = Delta U_(3)`
    C
    `Q_(1) = Q_(2) = Q_(3)` and `Delta U_(1) gt Delta U_(2) gt Delta U_(3)`
    D
    `Q_(3) gt Q_(2) gt Q_(1)` and `Delta U_(1) gt Delta U_(2) gt Delta U_(3)`

  • An ideal gas of mass m in a state A goes to another state B via three different processes as shown in Fig. If Q_(1), Q_(2) and Q_(3) denote the heat absorbed by the gas along the three paths, then

    A
    `Q_(1) lt Q_(2) lt Q_(3)`
    B
    `Q_(1) lt Q_(2) = Q_(3)`
    C
    `Q_(1) = Q_(2) gt Q_(3)`
    D
    `Q_(1) gt Q_(2) gt Q_(3)`

  • Refer to let DeltaU_(1) and DeltaU_(2) be the changes in internal energy of the system in the processes A and B. then

    A
    `DeltaU_(1)gtDeltaU_(2)`
    B
    `DeltaU_(1)=DeltaU_(2)`
    C
    `DeltaU_(1)ltDeltaU_(2)`
    D
    `DeltaU_(1)!=DeltaU_(2)`

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