Question

3 moles of an ideal monoatomic gas perform
a cycle as shown in the figure. The gaš temperature
in different states are T1 = 400 K, T2= 800 K,
T3 = 2400 K and T4 = 1200 K. The work done by
the gas during the cycle is​

Answer 1

Total workdone = 20 KJ

Explanation:

Given,

Temperature on different stages,

$T_1$ = 400 K

$T_2$ = 800 K

$T_3$ = 2400 K

$T_4$ = 1200 K

For isochoric process,

$\frac{P}{T}$ = Constant

$W_2_3 = 3R\times(T_3 - T_2)$

$W_1_4 = 3R(T_1 - T_4)$

Total workdone = $W_2_3 + W_1_4$

= $3R (T_3 - T_2 + T_1 - T_4)$

= $3R\times (2400 - 800 - 400 - 1200)$

= $3R\times 800$

= 2400 R

Total workdone = 20 KJ