  We prove that a conserved effective energy-momentum tensor for
Einstein-Cartan theory can be identified from the Noether identities of the
matter Lagrangian, using the torsion field equations relating them. More
precisely, a one-parameter family labelled by the Immirzi parameter. We use
this result and the contorsion description to show that Jacobson's
thermodynamical derivation of the Einstein equations follows as in the metric
theory, namely from the equilibrium Clausius relation and the fact that a
Killing horizon is metric-geodetic. Our derivation works for an arbitrary
torsion field. In the course of our discussion we review the laws of black hole
mechanics and their dependence on torsion.
