centimeters of mercury (cmHg) to hectopascals (hPa) conversion

What is the centimeter of mercury?

The centimeter of mercury (cmHg) is a unit of pressure equal to the pressure exerted by a one-centimeter-high column of mercury under standard conditions. It is a scaled-up form of the millimeter of mercury (torr) used in some scientific and industrial settings.

Definition

The conventional centimeter of mercury is based on a 1 cm column of mercury with a density of 13,595.1 kg/m³ under standard gravity (9.80665 m/s²):

$$1\ \text{cmHg} = 1333.22\ \text{Pa}$$

Exactly, 1 cmHg = 1333.22387415 Pa, which is ten times the millimeter of mercury (1 mmHg ≈ 133.322 Pa). This equals 10 torr under the conventional definition.

Origin and History

The unit descends directly from Torricelli's mercury barometer of 1643, where atmospheric pressure was read as the height of a mercury column. Mercury's high density makes the column compact and easy to read. The conventional value fixes mercury's density (its value at 0 °C) and standard gravity so the unit is independent of temperature and location.

Law and Notable Facts

The centimeter of mercury is not an SI unit; the SI unit of pressure is the pascal. It relates to the standard atmosphere as 1 atm = 76 cmHg exactly (by the historical 760 mmHg definition). The millimeter of mercury (mmHg), essentially identical to the torr, remains standard in medicine for blood pressure.

Real-World Examples and Conversions

• 1 cmHg = 10 mmHg (10 torr) ≈ 1.33322 kPa.
• One standard atmosphere equals exactly 76 cmHg.
• A blood pressure of 120/80 mmHg corresponds to 12/8 cmHg.
• A vacuum of 5 cmHg absolute is about 6.7 kPa, roughly 93% below atmospheric pressure.

What is the hectopascal?

Hectopascals (hPa) are a commonly used unit of pressure, particularly in meteorology. The following sections will detail what they are, how they relate to other units, and their real-world applications.

Definition of Hectopascal

A hectopascal (hPa) is a unit of pressure defined as 100 pascals (Pa). The pascal itself is the SI unit of pressure, defined as one newton per square meter ($N/m^2$). Therefore, 1 hPa is equivalent to 100 $N/m^2$.

$$1 \, hPa = 100 \, Pa = 100 \, \frac{N}{m^2}$$

Formation and Relationship to Other Units

The prefix "hecto" signifies a factor of 100. This makes the hectopascal a convenient unit for measuring atmospheric pressure, as it avoids the use of excessively large or small numbers. It's directly related to other units, most notably the millibar (mbar).

$$1 \, hPa = 1 \, mbar$$

This equivalence is why you'll often see hPa and mbar used interchangeably in weather reports. The older unit of pressure, the atmosphere (atm), is approximately 1013.25 hPa at sea level under standard conditions.

Relevance to Meteorology

Hectopascals are the standard unit for reporting atmospheric pressure in meteorology. Weather maps and forecasts routinely use hPa to depict high and low-pressure systems. These pressure systems drive weather patterns. For example, low-pressure systems are often associated with clouds and precipitation, while high-pressure systems are typically associated with clear skies.

Real-World Examples

• Standard Atmospheric Pressure: The standard atmospheric pressure at sea level is approximately 1013.25 hPa.
• Hurricane Intensity: The strength of hurricanes is often described using the minimum central pressure in hPa. Lower pressures indicate a stronger storm. For example, Hurricane Wilma in 2005 had a record-low central pressure of 882 hPa.
• Weather Maps: Isobars (lines connecting points of equal pressure) on weather maps are labeled in hPa. This allows meteorologists and the public to visualize pressure gradients, which are crucial for understanding wind patterns and weather systems.
• Altitude Measurement: Pressure decreases with altitude. Aircraft altimeters use barometric pressure (measured in hPa or inches of mercury) to determine altitude.