AP EAMCET202319 May 2023Morning ShiftPhysicsKinetic Theory of GasesActual
A gas of mass ' m ' and molecular weight ' M ' is flowing in an insulated tube with a velocity ' 2 ~V '. If the flow of the gas is suddenly stopped and all the kinetic energy is utilized to compress the gas, the increases in the temperature of the gas is ( is ratio of specific heats, R is universal gas constant)
Options
- A2 MV ^2( -1) R
- BmV ^2( -1) 2 MR
- CmV ^2 2 R
- DMV ^2 2 R
Correct answer
A. 2 MV ^2( -1) R
Step-by-step solution
Since the gas flow is suddenly stopped. We will Consider it to be an adiabatic process. Work done in a adiabatic process W = nR T -1 = mR T M ( -1) Energy available after the gas flow suddenly stopped aligned & = 1 2 ~m (2 ~V )^2 & 1 2 ~m 4 ~V ^2= mR T M ( -1) & T = 2 MV ^2( -1) R aligned