Q17 of 27 Page 87

Consider a Carnot’s cycle operating between T1 = 500K and T2=300K producing 1 k J of mechanical work per cycle. Find the heat transferred to the engine by the reservoirs.

Efficiency of any system, reversible cycle =



Now, Carnot theorem states that the efficiency of Carnot heat engine depends only on temperature of the source (T1) and temperature of the sink (T2) and is given by



According to question,


Temperature of source, T1=500K


Temperature of source, T2=300K





We can see from the figure that |W|=q2-q1




Now, since



=


=


More from this chapter

All 27 →
15

Is it possible to increase the temperature of a gas without adding heat to it? Explain.

 16

Air pressure in a car tyre increases during driving. Explain.

 18

A person of mass 60 kg wants to lose 5kg by going up and down a 10m high stairs. Assume he burns twice as much fat while going up than coming down. If 1 kg of fat is burnt on expending 7000 kilo calories, how many times must he go up and down to reduce his weight by 5 kg?

 19

Consider a cycle tyre being filled with air by a pump. Let V be the volume of the tyre (fixed) and at each stroke of the pump ∆V (V) of air is transferred to the tube adiabatically. What is the work done when the pressure in the tube is increased from P1 to P2?