KVPY2017PhysicsThermodynamics
A thin piece of thermal conductor of constant thermal conductivity insulated on the lateral sides connects two reservoirs which are maintained at temperatures T₁ and T₂ as shown. Assuming that the system is in steady state, which of the following plots best represents the dependence of the rate of change of entropy of the ratio of temperatures T ₁ / T ₂
Correct answer
1
Step-by-step solution
aligned ds &= - Qdt T ₁ + Qdt T ₂ ds dt &=- Q [ 1 ~T ₁ - 1 ~T ₂ ] &= - ( T ₁- T ₂ ) R [ T ₂- T ₁ ~T ₁ ~T ₂ ] &=+ ( T ₁²- T ₂² ~T ₁ ~T ₂ ) 1 R ds dt &= ( T ₁ ~T ₂ - T ₂ ~T ₁ ) 1 R &= ( x - 1 x ) 1 R aligned