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Interconverting compound SI units (Aleks).

a) Mass
b) Temperature
c) Length
d) Time

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Final answer:

The question is about converting between different SI units for mass, temperature, length, and time, using appropriate conversion factors. For example, mass in grams can be converted to kilograms (the SI base unit) by dividing by 1000, temperatures in Celsius can be converted to kelvins by adding 273.15, lengths in centimeters can be converted to meters by dividing by 100, and time in milliseconds can be converted to seconds by dividing by 1000.

Step-by-step explanation:

Interconverting SI Units

The question pertains to the process of converting between different SI units for mass, temperature, length, and time. The SI base units for these measurements are the kilogram (kg) for mass, kelvin (K) for temperature, meter (m) for length, and second (s) for time. Interconverting these units involves using conversion factors to move from one unit to another.

Mass Conversion

To convert from grams to kilograms, a conversion factor of 1 kg = 1000 g is used. Scientific notation is often employed when dealing with very large or very small numbers. For example, 23 mg can be rewritten as 2.3 x 10⁻µ kg, or 2.3 x 10⁻µ kg. To express a mass given with a metric prefix in terms of kilograms, move the decimal point according to the power of ten specified by the prefix.

Temperature Conversion

Temperature in the SI system is measured in kelvins. To convert from degrees Celsius to kelvins, add 273.15 to the Celsius temperature. The given values of 541 K and 2400 K are already in the proper SI units.

Length Conversion

Length is measured in meters (m). Conversion factors between centimeters and meters are straightforward: 1 m = 100 cm. For example, to convert 42 ng into the SI base unit for length, follow the appropriate conversion for the given metric prefix.

Time Conversion

SI unit of time is the second (s). Milliseconds can be converted to seconds using the conversion factor 1 s = 1000 ms. If a time is given with a metric prefix, adjust the time to seconds by applying the corresponding power of ten, such as converting 980 fs to seconds by using the factor 1 fs = 10⁻¹µ s.

Across the various examples provided—masses, times, and temperatures given in different formats—the consistent principle is to adjust the initial value by the conversion factor that aligns with the SI base unit (e.g., kilogram for mass, meter for length, second for time, kelvin for temperature).

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