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Lessons · Pharmacy · millilitres an hour

Millilitres an hour

The rate on the pump is the volume divided by the time in hours.

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What it is for

The bag arrives with a volume on it and an order that says how long it should run. The pump wants one number, in millilitres an hour, and it is the only number that has to be typed in correctly for the bag to finish when it is supposed to.

How to think about it

Put the time in hours before dividing. Minutes become hours by dividing by 60, so 30 minutes is 0.5 h and 45 minutes is 0.75 h. Then volume over hours, and the unit that comes out is mL/h.

Worked example

Rate = volume / time in hours
The whole formula.
1,000 mL over 10 h = 100 mL/h
A litre over ten hours.
500 mL over 5 h = 100 mL/h
Half the bag over half the time is the same rate.
250 mL over 30 min = 250 / 0.5 = 500 mL/h
Minutes into hours first: half an hour, not thirty.

Your turn

A 600 mL bag is to run over 5 hours. Write the rate.

600 / 5 =  mL/h

The trap

Dividing by the minutes. 250 mL over 30 minutes is not 8.3 mL/h; the formula wants hours, and leaving minutes in makes the rate sixty times too small.

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