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Entropy is defined by the equation:

dS = δQ/T

where

S is entropy

("d" and δ are mathematical symbols for differential quantities)

Q has units of energy - such as Joules

T has units of thermodynamic temperature - such as K

Since Joules are generally considered the SI unit for energy and K is the SI unit for temperature, entropy will therefore have units of J/K or J∙K-1 if you want to use SI units. It could just as legitimately be given in calories/K or BTU/°R since both of those have units of energy divided by thermodynamic temperature.

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