Heat and Thermodynamics 5 Question 28

29. One mole of a monoatomic ideal gas undergoes four thermodynamic processes as shown schematically in the pV-diagram below. Among these four processes, one is isobaric, one is isochoric, one is isothermal and one is adiabatic. Match the processes mentioned in List-l with the corresponding statements in List-II.

(2018 Adv.)

List-I List-II
P. In process I 1. Work done by the gas is zero
Q. In process II 2. Temperature of the gas remains
unchanged

R. In process III 3. No heat is exchanged between

S. In process IV 4. Work done by the gas is 6p0V0

(a) P4; Q3; R1; S2

(b) P1;Q3;R2;S4

(c) P3; Q4; R1;S2

(d) P3; Q4;R2;S1

Column 1 Column 2 Column 3

(III)

W12=0

(iii) Isobaric

(R)

(IV) W12=nRT ln(V2V1) (iv) Adiabatic

(S)

Show Answer

Solution:

  1. (dpdV)adiabatic =γ(dpdV)isothermal 

List-I

(P) Process I Adiabatic Q=0

(Q) Process II Isobaric

W=pΔV=3p0[3V0V0]=6p0V0

(R) Process III Isochoric W=0

(S) Process (IV) Isothermal Temperature = Constant



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