The dimensional formula for entropy is
(a) [MLT⁻² K¹] (b) [ML² T⁻²]
(c) [ML² T⁻² K⁻¹] (d) [ML² T⁻² K]
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Boltzmann's constant, and therefore entropy, have dimensions of energy divided by temperature, which has a unit of joules per kelvin (J⋅K−1) in the International System of Units (or kg⋅m2⋅s−2⋅K−1 in terms of base units).
SI unit: joules per kelvin (J⋅K−1)
In SI base units: kg⋅m2⋅s−2⋅K−1
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