Gas pressures can be expressed in units of mmHg, atm, torr, and kPa. Convert these pressure valu

step 1 Let us discuss about the conversions of units of pressure. To convert 720 mm. HG to atmospheres.

Gas pressures can be expressed in units of mmHg, atm, torr,...

Gas pressures can be expressed in units of $\mathrm{mmHg}$, atm, torr, and kPa. Convert these pressure values. (a) $720 . \mathrm{mmHg}$ to atm (b) 1.25 atm to $\mathrm{mmHg}$ (c) $542 . \mathrm{mmHg}$ to torr (d) $740 . \mathrm{mmHg}$ to $\mathrm{kPa}$ (e) $700 . \mathrm{kPa}$ to $\mathrm{atm}$

Gas pressures can be expressed in units of $\mathrm{mmHg}$, atm, torr, and kPa. Convert these pressure values.
(a) $720 . \mathrm{mmHg}$ to atm
(b) 1.25 atm to $\mathrm{mmHg}$
(c) $542 . \mathrm{mmHg}$ to torr
(d) $740 . \mathrm{mmHg}$ to $\mathrm{kPa}$
(e) $700 . \mathrm{kPa}$ to $\mathrm{atm}$

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Key Concepts

Pressure Units

Pressure units such as mmHg, torr, atm, and kPa are different systems for measuring pressure. Each unit originates from distinct historical or scientific contexts; for example, mmHg and torr measure pressure based on the height of a mercury column, while atm and kPa are part of standardized modern units. Understanding these units is crucial when converting pressure values, as it ensures consistent and meaningful comparisons between measurements.

Conversion Factors

Conversion factors are numerical relationships that allow you to change a measurement from one unit to another. They are derived from the definitions of the units involved; for example, 1 atm is defined as 760 mmHg (or 760 torr) and 101.325 kPa. Mastery of conversion factors is essential in any problem requiring unit conversion, as it guarantees that the correct relationships are applied during calculation.

Dimensional Analysis

Dimensional analysis is a systematic method used to convert between units by multiplying by conversion factors, ensuring that units cancel appropriately. This method involves setting up the conversion in such a way that the initial units are eliminated and replaced by the desired outcome units. It is a fundamental technique in physics and chemistry for ensuring consistency and correctness in unit conversions.

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