Perform the following conversions: (a) 0.912 atm to torr,...

Perform the following conversions: (a) 0.912 atm to torr,
(b) 0.685 bar to kilopascals,
(c) $655 \mathrm{~mm} \mathrm{Hg}$ to atmospheres,
(d) $1.323 \times 10^{5}$ Pa to atmospheres,
(e) 2.50 atm to psi.

Key Concepts

Unit Conversion

Unit conversion is the process of converting a value from one measurement unit to another. It involves multiplying the measured value by conversion factors that relate the two units. This procedure ensures that the physical quantity remains the same, even though it is expressed in a different unit system, and it is a foundational skill in both science and engineering.

Pressure Units

Pressure units are various measurements used to express the force exerted per unit area. In scientific and engineering contexts, pressure is expressed in units such as atmospheres, torr, pascals, kilopascals, bars, psi, and millimeters of mercury. Understanding the definitions and relationships between these units is essential for accurately converting and comparing different pressure measurements.

Dimensional Analysis

Dimensional analysis is a systematic method for converting units that relies on using conversion factors. By treating units algebraically, it ensures that units cancel appropriately and that the final units match the desired outcome. This method is critical in verifying the consistency and correctness of conversions across various measurement systems.

Conversion Factors

Conversion factors are specific numerical values that express the relationship between different units of measurement. For pressure units, examples include the relationships such as 1 atm being equivalent to 760 torr, 1 bar being equal to 100 kilopascals, and so on. These factors are used as multipliers to switch between units, ensuring that the underlying physical quantity remains unchanged.

SI and Non-SI Units

SI (International System of Units) units and non-SI units are both used to measure physical quantities, including pressure. SI units, such as pascals and kilopascals, are widely accepted in the scientific community for their standardization and consistency. Non-SI units like atmospheres, torr, and psi are also common in various disciplines. Understanding how to convert between SI and non-SI units is crucial for clear communication and accurate calculations in science and engineering.

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