Carry out the following conversions: (a) 352 torr to kPa

Verified step by step guidance

1. Identify the conversion factor between torr and kPa. 1 atm = 760 torr and 1 atm = 101.325 kPa.
2. Set up the conversion equation using the conversion factor: \( \text{kPa} = \text{torr} \times \frac{101.325 \text{ kPa}}{760 \text{ torr}} \).
3. Substitute the given value (352 torr) into the equation: \( \text{kPa} = 352 \text{ torr} \times \frac{101.325 \text{ kPa}}{760 \text{ torr}} \).
4. Perform the multiplication and division to convert the pressure from torr to kPa.
5. Ensure the units cancel appropriately, leaving the final answer in kPa.

Key Concepts

Pressure Units

Pressure is a measure of the force exerted per unit area. Common units for pressure include torr, pascal (Pa), and kilopascal (kPa). Understanding these units is essential for converting between them, as they represent the same physical quantity but are expressed differently.

Conversion Factors

Conversion factors are ratios that express how many of one unit are equivalent to another unit. For pressure conversions, knowing that 1 torr is approximately equal to 0.133322 kPa allows for straightforward calculations. Using accurate conversion factors is crucial for obtaining correct results in unit conversions.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert one set of units to another. It involves multiplying the quantity by conversion factors that cancel out the original units, leaving the desired units. This method ensures that the calculations are systematic and helps prevent errors in unit conversions.