a 10 mg / 250 ml solution is to infuse at 20 mcg/min
Given
10mg=10000mcg (10*1000=10,000)
So 10,000mcg/250ml
To infuse 20mcg/min and calculate its volume in ml
As 10,000mcg=250ml
Then 20mcg=??ml
Cross multiply and divide
=20*250/10,000
=5000/10,000
=0.5ml
So 0.5ml will be infuced in a minute
As 0.5ml=1minutes
Then 60minute(1hr)=??ml
Cross multiply and divide
=60*0.5/1
=60*0.5
=30ml/hr will be infused
As 30ml =1hr
Then 250ml=??hr
=250*1/30
=250/30
=8.3 hour or 8hr 18minutes
The total fluid will be infused at 30ml/hr over 8hour 18minutes
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