Carry out the following conversions: (c) 0.0382 mm Hg to Pa

Verified step by step guidance

1. Understand the conversion relationship: 1 mm Hg is equivalent to 133.322 Pa. This is a standard conversion factor between millimeters of mercury (mm Hg) and pascals (Pa).
2. Set up the conversion equation using the conversion factor. You want to convert 0.0382 mm Hg to Pa, so you will multiply 0.0382 mm Hg by the conversion factor (133.322 Pa/mm Hg).
3. Write the equation: 0.0382 mm Hg * 133.322 Pa/mm Hg. Notice that the mm Hg units will cancel out, leaving you with the result in Pa.
4. Perform the multiplication to find the pressure in pascals. This step involves calculating the product of 0.0382 and 133.322.
5. Ensure the final answer is in the correct units (Pa) and check your work for any calculation errors or unit conversion mistakes.

Key Concepts

Pressure Units

Pressure is a measure of force applied per unit area, and it can be expressed in various units, including millimeters of mercury (mm Hg) and pascals (Pa). Understanding the relationship between these units is essential for converting pressure values accurately.

Conversion Factors

Conversion factors are numerical values used to convert one unit of measurement to another. For pressure, the conversion from mm Hg to Pa involves knowing that 1 mm Hg is equivalent to approximately 133.322 Pa, which is crucial for performing the conversion correctly.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors that cancel out the original units. This method ensures that the final result is expressed in the desired units, making it a powerful tool in solving problems involving unit conversions.