Conversion from 5 Millipascals to Decipascals

Information about the Millipascal (mPa)

The millipascal is a unit of pressure equal to one thousandth of a pascal. Its symbol is mPa. The pascal is already a very small unit — it is the pressure of a sheet of paper lying on a table — so a thousandth of one is smaller than almost any pressure a person encounters. It survives because two fields genuinely work at that scale: acoustics and viscosity.

Sound is a pressure wave, and the pressures involved are tiny. Ordinary conversation at a metre carries a sound pressure of about 20 millipascals. A whisper is nearer 2, and the threshold of hearing, the quietest sound a healthy young ear can detect, is 0.02 millipascals, which is 20 micropascals. A loud rock concert reaches a few pascals. The entire useful range of human hearing therefore lives between a hundredth of a millipascal and a few thousand of them.

That is why sound is reported in decibels rather than in pressure units. A range spanning a factor of a million is unwieldy in linear numbers, so acoustics takes the logarithm and anchors it at the threshold of hearing. But the decibel is not a unit of pressure at all: behind every decibel figure is a pressure in pascals or millipascals, and instrument calibration is done in those real units.

The second use is stranger, because it is not a pressure at all. Dynamic viscosity is measured in pascal seconds, and almost every liquid people care about lands in the millipascal second range. Water at room temperature is 1 mPa·s exactly enough for practical purposes. That happens to equal one centipoise in the older CGS system, so the switch to SI left every viscosity table numerically unchanged, which is why the millipascal second took hold where the millipascal alone did not.

With that scale in hand, the numbers become legible. Petrol is about 0.6 mPa·s, olive oil about 80, honey several thousand, and glycerol around 1,400. Blood plasma is about 1.3, and whole blood nearer 4, which is one reason blood flow is harder to model than water flow.

For pressure itself, outside acoustics, the millipascal appears in vacuum work and in the gentlest of laboratory measurements — the pressure differences that drive slow gas flow, or the residual pressure in a chamber that has been pumped down hard. In those settings the alternative units are the micropascal below and the pascal above.

One millipascal equals 0.001 pascals, one thousand micropascals, 0.00001 millibars, or about 0.000000145 pounds per square inch.

Information about the Decipascal (dPa)

The decipascal is a unit of pressure equal to one tenth of a pascal. Its symbol is dPa. It belongs to the group of metric prefixes that exist because the system is regular rather than because anyone asked for them: deci, centi, deca and hecto fill the gaps between the thousand-step prefixes, and of those four only hecto found a permanent home in pressure, in the hectopascal of weather reports.

That regularity is the point of the metric system rather than an accident of it. Every prefix from yocto to yotta applies to every unit, so the decipascal is defined whether or not anyone writes it. The alternative would be a system in which some combinations are legal and others are not, and users would then have to memorise a table of exceptions instead of a single rule.

In practice pressure work skips from the pascal to the hectopascal or kilopascal, and the four intermediate prefixes go unused. There is a reason for that beyond habit. The thousand-step prefixes — milli, kilo, mega — line up with how numbers are grouped in writing, so a value in kilopascals is read off a value in pascals by moving the digit grouping, not by counting decimal places. Deci and centi break that alignment.

The decipascal does have a natural size, though. A tenth of a pascal is roughly the pressure of a single sheet of thin paper laid on a table, or the difference in air pressure over about a centimetre of height. It is the pressure a moth exerts on a windowpane, and about a hundredth of the pressure difference across a closed interior door in a ventilated building.

Where such pressures need writing down, the convention is to use the pascal with a decimal: an anemometer calibration might record 0.4 pascals rather than 4 decipascals, and a ventilation specification 50 pascals rather than 500 decipascals. The number is the same and the pascal keeps the page consistent with every other reading.

The unit is still perfectly valid, and a converter has to handle it, because it turns up in older instrument manuals, in occasional national standards, and wherever an author has decided that a figure reads better with one digit before the point than with three after it.

One decipascal equals 0.1 pascals, 100 millipascals, 0.001 hectopascals, or about 0.0000145 pounds per square inch.