Perceptual motion machine -1 and Heat transfer

Perceptual motion machine-1 -: perceptual motion machine, which devo-loped works continuously without absorbing some other form of energy, if sach a machine is develop -  ed it would first law of thermo-dynamics. 

 Q = 0 --- PMM -1 --- w

PMM -1 is impossible. 

dv = m.Cv.dT ,      

dH = m.Cp.dT

Here  U = f ( t )

Heat transfer -: 

Heat transfer in various non - flow process--

1. Constant volume process -:

Heat transfer in a constant volume process for a closed system is equal to change in thermal energy .

dQ = du + P. dv

When , v = Constant,  dv = 0 dw = 0

Then dQ = dv

2.  Constant pressure process-: 

Heat transfer for a constant pressure process is equal to change in Enthalpy. 

dQ = du + P. dv

When , P = Constant 

dQ = du + P ( dv )   , dQ = d ( u + Pv )

dQ = dH

3. Isothermal process-: 

When an ideal gas undergoes isothermal process , heat transfer is equal to work .

dQ = du + P.dv

When , T = Constant  if  u = f ( t ) du = 0

dQ = dw .