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Dear Chandan
Unit of equilibrium constant depends upon type of reaction
if in a reaction number of molecules is not changing then equilibrium constant has no unit.
For example
N2 + 3H2 ----> 2NH3
unit of equilibrium constant =liter2 mol-2
and for reaction N2 +O2 -----> 2NO
equilibrium constant has no unit ( since number of molecules is not changing)
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