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Consider a heat engine as shown in figur...

Consider a heat engine as shown in figure. `Q_1` and `Q_2` are heat added both to `T_1` and heat taken from `T_2` in one cycle of engine. W is the mechanical work done on the engine.

If `W gt 0`, then possibilities are :

A

`Q_1 gt Q_2 gt 0`

B

`Q_2 gt Q_1 gt 0`

C

`Q_2 lt Q_1 lt 0`

D

`Q_1 lt 0, Q_2 gt 0`

Text Solution

Verified by Experts

The correct Answer is:
A, C
From figure ,
`Q_1=W+Q_2`
`therefore W=Q_1-Q_2`
But W `gt` 0
`therefore Q_1-Q_2 gt 0`
`therefore Q_1 gt Q_2` if `Q_1` and `Q_2` both are positive but if `Q_1` and `Q_2` both are negative then
`Q_2 -Q_1 lt 0`
`therefore Q_2 lt Q_1`
Hence, `Q_2 lt Q_1 lt 0`
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