Page 47 - 4498

1 2 Isothermal Work A done by working substance (one
12
expansion mole of ideal gas) is equal to heat Q absorped
1
from hot reservoir (heat in)

a V 2
A  RT 1 ln
12
V
1

2  3adiabatic Work A done by one mole of ideal
23
expansion (adiabatic gas at the adiabatic cooling is equal
cooling ) to

b A  C V R T  T 2 
1
23

Work A done by one mole of ideal
34
3  4isothermal gas at the isothermal compression is
compression of the gas at the equal to heat energy Q 2 returned back
"cold" temperature, T 2. to cold reservoir (heat out)

c

V
A  RT 2 ln 4
34
V 3

4  1adiabatic compression Work A done by one mole of ideal
41
(adiabatic heating ) and gas gas at the adiabatic heating is equal
returns back to the initial state to

a A  C R T  T 
d 41 V 2 1

Figure 2.9.1

The total work done by Carnot cycle is equal to

47