Consider a heat engine as shown in (figure). `Q_(1) and Q_(2)` are heat added to heat bath `T_(1)` and heat taken from `T_(2)` one cycle of engine. `W` is the mechanical work done on the engine.

If `Wgt0`, then possibillities are:

Options

A. `Q_(1)gtQ_(2)gt0`
B. `Q_(2)gtQ_(1)gt0`
C. `Q_(3)ltQ_(1)lt0`
D. `Q_(1)lt0,Q_(2)gt0`

Answer

A, C

Explanation

Consider the figure we can write `Q_(1)=W+Q_(2)`
`rArrW=Q_(1)gtQ_(2)gt0` (if both `Q_(1)` and `Q_(2)` are positive)
We can also, write `Q_(2)ltQ_(1)lt0` (if both `Q_(1)` and `Q_(2)` are negative).