BITSAT2015PhysicsThermal Properties of MatterActual
0.5 mole of an ideal gas at constant temperature 27^ C kept inside a cylinder of length L and crosssection area A closed by a massless piston. The cylinder is attached with a conducting rod of length L, cross-section area (1 / 9) m ² and thermal conductivity k , whose other end is maintained at 0^ C . If piston is moved such that rate of heat flow through the conducing rod is constant then velocity of piston when it
Options
- A( k R ) m / sec
- B( k 10 R ) m / sec
- C( k 100 R ) m / sec
- D( k 1000 R ) m / sec
Correct answer
C. ( k 100 R ) m / sec
Step-by-step solution
Q t = W t = work done per unit time = k a L d W d t =P d v d t = k a L , P= n R T V 0.5 R(300) V A d d t = k a L 0.5 R(300) A L 2 A v= k a L v= k a R ( 27 300 )= k 100 R