Perform the following conversions: (d) 1.323 * 105 Pa to atmospheres

Verified step by step guidance

1. Identify the conversion factor between pascals (Pa) and atmospheres (atm). 1 atm is equal to 101,325 Pa.
2. Set up the conversion by writing the given pressure in pascals (1.323 * 10^5 Pa) and multiply it by the conversion factor to convert to atmospheres.
3. The conversion factor can be expressed as a fraction: (1 atm / 101,325 Pa).
4. Multiply the given pressure by the conversion factor: (1.323 * 10^5 Pa) * (1 atm / 101,325 Pa).
5. Cancel out the units of pascals, leaving the pressure in atmospheres.

Key Concepts

Pressure Units

Pressure is a measure of force applied per unit area. Common units for pressure include pascals (Pa), atmospheres (atm), and millimeters of mercury (mmHg). Understanding these units is essential for converting between them, as they represent the same physical quantity but in different scales.

Conversion Factors

Conversion factors are ratios that express how many of one unit are equal to another unit. For pressure, the conversion factor between pascals and atmospheres is 1 atm = 101,325 Pa. Using this factor allows for the straightforward conversion of pressure measurements from one unit to another.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert units by multiplying by appropriate conversion factors. This method ensures that units cancel appropriately, leading to the desired unit in the final answer. It is a critical skill in chemistry for ensuring accuracy in calculations involving different measurement systems.