Formula to calculate volume of distribution , Vd :
Vd = CL/KE, where CL is the clearance and KE is the elimination rate constant.
The given values are
D (dose) =120 mg
AUC (Area under curve) = 60 mg / L/hr
T1/2 ( half life ) = 12 hrs.
In(2) = 0.693 ( constant value)
Formula to calculate CL and KE
CL = D÷AUC = 120÷60 = 2
KE = In (2) ÷ t1/2 = 0.693÷12= 0.057
Vd = CL÷KE = 2÷0.057= 35 litres.
So the volume of distribution of drug A is 35 litres.
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