2nd law of Thermodynamics

[JeremyPark14B]

How does the 2nd law of thermodynamics relate to the equation of delta S = q(rev) / T ?

The 2nd law states that spontaneous processes lead to an increase in entropy. However, if q is negative, isn't the change in entropy negative? How does this make sense?

[ThomasLai1D]

q refers to the heat you are adding to or taking out of the system. A positive q means you are adding heat to the system, which increases energy. I think you are confusing this with when delta H is negative, which is not the same as removing heat from the system. When delta H is given, spontaneity is determined when delta G is negative, and delta G = delta H - T delta S.