Perform the following conversions: (b) 0.685 bar to kilopascals

Verified step by step guidance

1. Identify the conversion factor between bars and kilopascals. 1 bar is equivalent to 100 kilopascals.
2. Set up the conversion equation using the given value in bars. Multiply the value in bars by the conversion factor to convert it to kilopascals.
3. Write the equation: \(0.685 \, \text{bar} \times 100 \, \text{kPa/bar} = X \, \text{kPa}\).
4. Perform the multiplication to find the value of \(X\).
5. The result will give you the pressure in kilopascals.

Key Concepts

Pressure Units

Pressure is a measure of force applied per unit area, commonly expressed in various units such as pascals (Pa), bars, and atmospheres. Understanding these units is essential for converting between them, as they represent the same physical quantity but differ in scale. For example, 1 bar is equivalent to 100,000 pascals.

Conversion Factors

Conversion factors are ratios that express how many of one unit are equal to another unit. They are crucial for converting measurements from one unit to another, such as from bars to kilopascals. In this case, knowing that 1 bar equals 100 kilopascals allows for straightforward calculations.

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 systematic approach that helps verify the correctness of unit conversions.