Is entropy the same as heat capacity?

DrDu

You got the first formula wrong, it is dS= dQ /T. Furthermore it only holds for reversible changes, but ok.
Hence
dS=mc/T dT, so you can calculate the entropy change from heat capacity although they are not identical.

DrDu Recognitions: Science Advisor	You got the first formula wrong, it is dS= dQ /T. Furthermore it only holds for reversible changes, but ok. Hence dS=mc/T dT, so you can calculate the entropy change from heat capacity although they are not identical.