16 Questions
What is the primary purpose of derived units in the SI system?
To provide a standardized system for measurement
What is the temperature in Celsius when it is 86°F?
25°C
Which of the following is NOT a base SI unit?
Gram
What is the unit of temperature that is not mentioned in the given formula?
Kelvin
What is the ratio of the change in Fahrenheit to the change in Celsius, according to the given formula?
9/5
What is the primary goal when dealing with conversion factors in a problem?
To identify the quantity needed to solve the problem
Which of the following is a common application of separation of mixtures?
Chromatography in forensic science
What is the purpose of using unit conversions in chemistry?
To express a measurement in a more convenient unit
What is the purpose of conversion factors in unit conversions?
To change the units of a measurement without changing its value
Which temperature scale is used in scientific research?
Kelvin scale
When using two or more conversion factors, what is the correct order of operation?
In the order of the given units
What is the base unit of length in the SI system?
Meter
What is the formula to convert a given unit to a desired unit?
Desired unit = given unit × conversion factor
What is the definition of a conversion factor?
A simple ratio of the desired unit to the given unit
What is the purpose of asking three questions in dimensional analysis?
To identify the given data, desired units, and conversion factors
What is the result of multiplying a given unit by a conversion factor?
A unit with a larger magnitude
Study Notes
Dimensional Analysis
- Units can be multiplied or divided to give the desired units.
- Conversion factors are used to manipulate units, where Desired unit = given unit × (conversion factor).
- Conversion factors are simple ratios: Conversion factor = (desired unit) / (given unit).
Using Two or More Conversion Factors
- To convert length in meters to length in inches, the conversion factors are: Number of in = (number of m) × (conversion m to cm) × (conversion cm to in).
- Example: Number of in = (number of m) × (100 cm / 1 m) × (1 in / 2.54 cm).
Key Questions in Dimensional Analysis
- What data are we given?
- What quantity do we need?
- What conversion factors are available to take us from what we are given to what we need?
Temperature Conversion
- The conversion formula for Celsius to Fahrenheit is: °F = (°C × 9/5) + 32.
- The conversion formula for Fahrenheit to Celsius is: °C = (°F - 32) × 5/9.
Derived Units
- Derived units are obtained from the 7 base SI units.
This quiz covers the basics of dimensional analysis, including converting units using conversion factors and simple ratios. Learn how to manipulate units to get the desired outcome.
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