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 :

Consider a heat engine as shown in figure. Q_1 and Q_2 are heat added

1.	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 :
Answer» `Q_1 gt Q_2 gt 0` `Q_2 gt Q_1 gt 0` `Q_2 lt Q_1 lt 0` `Q_1 lt 0,Q_2 gt 0` Solution :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`