Unit of concentration is mol/L.
Unit of rate is mol/L●min.
Then as per the given rate law:
Rate = K[A]1/2[B]-1
mol/L●min = K (mol0.5 L-0.5)(mol-1 L+1)
K = mol(1-0.5+1)L(-1+0.5-1)min-1
K = mol1.5 L-1.5 min-1
Or K = mol3/2/L3/2●min
Therefore, 1st Option is the correct answer.
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