You need a table of reduction potentials. You can easily find one on Google. Now these tables are for 1M concentration aqueous chemistry at 25C (or
20C, I don't remember exactly). Therefore they are not highly accurate for what you're trying to do. Find the half-reactions of the two metals
involving their solid form. There is an E° voltage value associated with each half-reaction. You don't need to know what this means, but the general
trend is that a metal with a lower (more negative) number will probably reduce a metal that has a higher (less negative) number.
When the numbers are close (like those of magnesium and potassium), it's hard to tell what will happen. However, if you're looking at zinc and
potassium (-0.76 and -2.92, respectively), those numbers are so far off that it's pretty safe to assume that you'll never get zinc to reduce
potassium.
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