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The way I understood it, Kc is for molar concentration. There's also Kp but that's for partial pressures for gases. I think K is just the equilibrium constant and Kc is just a more specific way of denoting what you are finding.
Jordan Lo 2A wrote:Do we need to memorize the formula in the book for converting between the 2?
The only formula you need anyway to convert between the two is the ideal gas law, PV=nRT which changes to P=concentrationRT. It's handy to know, but I don't think you need to memorize it.