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Heat Engine - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

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  • 4 Questions around this concept.

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A cycle consisting of one constant pressure, one constant volume, and two isentropic processes is known as

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

 

If $W>0$, then possibilities are:
a) $Q_1>Q_2>0$
b) $Q_2>Q_1>0$
c) $Q_2<Q_1<0$
d) $Q_1<0, Q_2>0$

Concepts Covered - 1

Heat Engine

A heat engine is a device that converts heat into work continuously through a cyclic process.

The essential parts of a heat engine are

1. Source: It is a reservoir of heat at high temperature and infinite thermal capacity. Any amount of heat can be extracted from it.

2. Working substance: Steam, petrol, etc.

3. Sink: It is a reservoir of heat at low temperature and infinite thermal capacity. Any amount of heat can be given to the sink.

  • Working of heat engine

 

As shown in the above figure, The working substance absorbs heat Q1 from the source, does an amount of work W returns the remaining amount of heat (i.e Q2) to the sink and comes back to its original state and there occurs no change in its internal energy.

 

To obtain work continuously, the same cycle is repeated over and over again.

  •  The efficiency of the heat engine (\eta)- It is defined as the ratio of useful work obtained from the engine to the heat supplied to it. The performance of the heat engine is expressed by means of “efficiency”.

 

$$
\text { I.e } \eta=\frac{\text { Work done }}{\text { Heat input }}=\frac{W}{Q_1}
$$


For a cyclic process $\Delta U=0$
so From the first law of thermodynamics, $\therefore \Delta Q=\Delta W \quad$ so $\quad W=Q_1-Q_2$

$$
\eta=\frac{Q_1-Q_2}{Q_1}=1-\frac{Q_2}{Q_1}
$$
 

Practically efficiency of an engine is always less than 1.

 

 

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Heat Engine

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Heat Engine

Physics Part II Textbook for Class XI

Page No. : 313

Line : 3

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