NEETPhysicsThermodynamics
Match of the following. array ll Column I & Column II array ll A. Ratio of Q U in an isobaric process array & 1. T₁ (T₁-T₂ ) array ll B. Ratio of Q W in an isobaric process array & 2. T₂ (T₁-T₂ ) array l C. Coefficient of performance of a refrigerator array & 3. -1 array l D. Coefficient of performance of a heat pump array & 4. array Codes array llll A & B & C & D array
Options
- Aarray llll 4 & 3 & 2 & 1 array
- Barray llll 2 & 1 & 4 & 3 array
- Carray llll 3 & 1 & 2 & 4 array
- Darray llll 4 & 2 & 3 & 1 array
Correct answer
A. array llll 4 & 3 & 2 & 1 array
Step-by-step solution
We know that, at constant volume, Heat supplied, Q₁= U=C_V T At constant pressure, heat supplied, Q=C_p T= U+ W Ratio of heat capacity at constant pressure to constant volume is = C_p C_V Now, Q U = C_p T C_V T = C_p C_V = Now, Q W = Q Q- U = C_p T C_p T-C_V T aligned & = C_p C_p-C_V = C_p C_V ( C_p C_V -1 ) & = -1 aligned For refrigerator, coefficient of performance, aligned & = Q₂ W = Heat absorbed from food stuff Electrical work done & = Q₂ Q₁-Q₂ aligned Coefficient of heat pump = Heat released Electrical work i