JEE Advanced2008PhysicsThermodynamicsActual
Column I contains a list of processes involving expansion of an ideal gas. Match this with Column II describing the thermodynamic change during this process. Indicate your answer by darkening the appropriate bubbles of the 4 4 matrix given in the ORS.
Options
- A(A) q, (B) p,q, (C) p,s, (D) q,s
- B(A) q,r, (B) p,q, (C) s, (D) q
- C(A) p, (B) q, (C) p,r, (D) q,s
- D(A) p,q, (B) q, (C) p,q, (D) q
Correct answer
A. (A) q, (B) p,q, (C) p,s, (D) q,s
Step-by-step solution
(A) : In case of free expansion under adiabatic conditions, change in internal energy U=0 . Internal energy and temperature will remain constant. (B) p 1 v^2 array rrrr & & p V^2 & = constant & or & ( n R T V ) V^2= constant & & T 1 V array If volume is doubled, temperature will decrease as per Eq. (ii). Further, molar heat capacity in process p V^x= constant is C=C_V+ R 1-x From Eq. (i), x=2 C= 3 2 R+ R 1-2 =+ R 2 Since molar heat capacity is positive, according to Q=n C T, Q will be negative it T is negative. Or