which reaction will most likely take place based on the activity series? li > k > ba > ca > na > mn > zn >…

Explanation:

Step1: Recall activity - series rule

A more reactive metal can displace a less reactive metal from its compound.

Step2: Analyze option 1

In $Pt + FeCl_3\rightarrow$, platinum (Pt) is less reactive than iron (Fe) according to the activity - series ($Fe>Pt$), so Pt cannot displace Fe from $FeCl_3$.

Step3: Analyze option 2

In $Mn + CaO\rightarrow$, calcium (Ca) is more reactive than manganese (Mn) ($Ca > Mn$), so Mn cannot displace Ca from CaO.

Step4: Analyze option 3

In $Li+ZnCO_3\rightarrow$, lithium (Li) is more reactive than zinc (Zn) ($Li > Zn$), so Li can displace Zn from $ZnCO_3$.

Step5: Analyze option 4

In $Cu + 2KNO_3\rightarrow$, potassium (K) is more reactive than copper (Cu) ($K>Cu$), so Cu cannot displace K from $KNO_3$.

Answer:

$Li + ZnCO_3\rightarrow$