Engineering
Physics
Thermodynamics
Cyclic Processes
Question

One mole of a monatomic ideal gas is taken through a cycle ABCDA as shown in the P-V diagram. Column-II gives the characteristics involved in the cycle. Match them with each of the processes given in Column-I.

Column-I Column-II
(A) Process A  B (p) Internal energy decreases
(B) Process B  C (q) Internal energy increases
(C) Process C  D (r) Heat is lost
(D) Process D  A (s) Heat is gained
  (t) Work is done on the gas
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Solution

Process AB : (Pressure is constant)

If TA = T ⇒ TB = T/3

So U = Negative [ U = nCvT]

W = nRT = Negative

Q = U + W = Negative

Process BC : (Volume is constant)

If  TB=T3  then  TC=T9

 U = nCvT = Negative

 W = Zero

 Q = Negative

 Process C D : (Pressure is constant)

If TC = T/9 then TD = T

U = nCvT = positive

W = positive

Q = positive

Process D A :

TD = T and TA = T

Hence process is isothermal

U = 0

W = negative

Q = negative