Complete the table. c. 554 mK/s _K/s _mK/ms

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Step 1: Understand the units involved. We have millikelvin per second (mK/s) and need to convert to kelvin per second (K/s) and millikelvin per millisecond (mK/ms).

Step 2: Convert 554 mK/s to K/s. Remember that 1 K = 1000 mK, so divide 554 mK/s by 1000 to convert to K/s.

Step 3: Convert 554 mK/s to mK/ms. Since 1 second = 1000 milliseconds, divide 554 mK/s by 1000 to convert to mK/ms.

Step 4: Write down the conversions: 554 mK/s = 0.554 K/s and 554 mK/s = 0.554 mK/ms.

Step 5: Verify the conversions by checking the unit relationships: 1 K = 1000 mK and 1 s = 1000 ms, ensuring the calculations are consistent with these conversions.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this case, it involves converting millikelvins per second (mK/s) to kelvins per second (K/s) and millikelvins per millisecond (mK/ms). Understanding the relationships between these units is essential for accurate conversions.

Metric Prefixes

Metric prefixes are used to denote multiples or fractions of units in the metric system. For example, 'milli-' indicates a factor of 10^-3. Recognizing these prefixes helps in understanding how to convert between different scales, such as converting mK to K or mK/ms to K/s.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors that equal one. This method ensures that the units cancel appropriately, leading to the desired unit. It is a crucial skill in chemistry for ensuring that calculations involving different units are performed correctly.