Information theory based relations between thermodynamic's 1st. and 2nd.   laws
  We focus attention on some particular thermodynamic relations (PTR). Using information theory concepts we show that, for a reversible process, microscopic considerations related to these PTR make the concomitant informational contents of the first and second laws equivalent. The pertinent demonstration is obtained when trying to ascertain the corresponding equilibrium microscopic probability distribution. We also describe other instances in which the above mentioned informational equivalence does not hold. 
E. M. F. Curado and A. Plastino