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Lessons · Nursing · mL per hour from volume and time

mL per hour: the number the pump wants

Pump rate = total volume ÷ time in hours. If the time is in minutes, divide it by 60 first.

Hone is a place to practise a career, one idea a day. This is one of its lessons, written out in full and free to read without an account.

What it is for

Every bag hung on a pump is this line: a volume, a time, a rate. The order says 1000 mL over 10 hours; the pump asks for mL/h; nothing infuses until a nurse has done the division. The pump beeps at the end because the arithmetic was right, not because it checked it.

How to think about it

Write the volume in millilitres and the time in hours. Divide. If the time was in minutes, turn it into hours first by dividing by 60, or multiply the volume by 60 and divide by the minutes. Round as the problem states, usually to the nearest whole mL/h or tenth.

Worked example

1000 mL over 10 h
A litre bag over a day shift plus a bit.
Rate = 1000 / 10 = 100 mL/h
Volume over hours. One hundred millilitres an hour.
250 mL over 30 min: 30 / 60 = 0.5 h
The time in hours first.
Rate = 250 / 0.5 = 500 mL/h
Half an hour means twice the volume per hour.

Your turn

500 mL over 4 hours. Write the line.

Rate = 500 /  = 125 mL/h

The trap

Dividing by the minutes when the pump wants hours. 250 / 30 = 8.3 mL/h, and the antibiotic that was due over half an hour takes thirty hours. Minutes become hours before the division.

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