centimeters of mercury (cmHg) to kilopascals (kPa) 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 kilopascal?

Understanding Kilopascals (kPa)

Kilopascals (kPa) are a unit of pressure within the International System of Units (SI). Specifically, it's a multiple of the pascal (Pa), where "kilo" signifies a factor of one thousand. Therefore, 1 kPa equals 1000 Pascals.

Definition of Pressure

Pressure is defined as the amount of force applied perpendicular to a surface per unit area over which that force is distributed. Mathematically, this can be expressed as:

$$P = \frac{F}{A}$$

Where:

• $P$ = Pressure
• $F$ = Force
• $A$ = Area

The SI unit for pressure is the Pascal (Pa), which is equivalent to one Newton per square meter ($N/m^2$). Since a Pascal is a relatively small unit, the kilopascal (kPa) is often used for more practical measurements.

How Kilopascals Are Formed

The pascal (Pa) is derived from fundamental SI units: kilograms (kg), meters (m), and seconds (s). 1 Pa is defined as the pressure exerted by a force of 1 Newton (1 kg⋅m/s²) over an area of 1 square meter. Kilopascals simply multiply this pascal unit by 1000. Thus, 1 kPa = 1000 $N/m^2$

Connection to Blaise Pascal

The unit "pascal" is named after Blaise Pascal, a 17th-century French mathematician, physicist, and philosopher. Pascal made significant contributions to the study of fluid pressure and its applications. Pascal's Law states that pressure applied to a confined fluid is transmitted equally in all directions throughout the fluid. This principle is crucial in hydraulic systems. Learn more about Blaise Pascal.

Real-World Examples of Kilopascals

• Atmospheric Pressure: Standard atmospheric pressure at sea level is approximately 101.325 kPa. This is often used as a reference point.
• Tire Pressure: Car tire pressure is typically measured in kPa (or PSI). A common tire pressure might be around 200-240 kPa.
• Water Pressure: The water pressure in your home plumbing is often in the range of 300-500 kPa.
• Hydraulic Systems: Hydraulic systems in machinery (e.g., car brakes, construction equipment) operate at pressures measured in megapascals (MPa), which are equal to 1000 kPa. For example, a hydraulic press might operate at 20 MPa (20,000 kPa).
• Weather Reporting: Meteorologists often use kilopascals to report atmospheric pressure. Changes in atmospheric pressure are indicative of weather patterns.
• Pressure Cookers: Pressure cookers increase the boiling point of water by raising the internal pressure, often reaching pressures of 110 kPa to allow for faster cooking.