The concentration will be 156 minutes later when the rate at which a certain drug is eliminated by the body follows first-order kinetics, with a half life of 78 minutes is 0.275 ug/mL
Half life: It is known as the time needed to minimize the initial concentration to half. It is denoted by the symbol t1/2
For a first order reaction,
t1/2=0.693/k1
The half-life time for a first order reaction is unaffected by the substrate's starting concentration.
Half life of the given drug is 78 min
Total time is 156 min
Number of half lives corresponding to 156 min is 156/78=2
Therefore, the concentration of drug reduced in 156 min =2^2=4 times
Therefore, the number of half-life is present in the given total time is determined by dividing the total time with half-life of the drug.
The initial concentration is 1.1 ug/mL
Final concentration is 1.1/4=0.275 ug/mL
The concentration of drug after 156 min is 0.275 ug/mL
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