a patient is receiving a drug treatment when first measured there is 0.5 mg of the Drug per litre of blood. after 4- hours there is only 0.1 mg per litre. assuming the amount in the blood at time t is decreasing in proportion to the amount Present at time t , find how long it takes for there to be only 0.05 mg. give the correct answer to the Nearest minute
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It takes 30 minutes for the drug to be only 0.05 mg.
Given,
a patient is receiving a drug treatment when first measured there is 0.5 mg of the Drug per litre of blood. after 4- hours there is only 0.1 mg per litre.
To find,
Assuming the amount in the blood at time t is decreasing in proportion to the amount Present at time t , find how long it takes for there to be only 0.05 mg.
Solution,
Suppose it takes 1 hour for 0.1mg and by reading the question it could be true
Out of 0.5mg only 0.1mg left after 4hr.
Next,
0.05mg is the half of 0.1mg
thus,
0.05mg = 30min
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