Domanda del libro di testo
Write an equality and two conversion factors for each of the following medications:
a. 10 mg of Atarax per 5 mL of Atarax syrup
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2. Measurement and Problem Solving
Conversion Factors (Simplified)
0:37 minutiProblema 43
Domanda del libro di testo
Why can two conversion factors be written for an equality such as 1 m = 100 cm?
Guida verificata passo dopo passo1
Understand that a conversion factor is a ratio used to express a quantity in different units.
Recognize that the equality 1 m = 100 cm can be expressed as two different conversion factors: \( \frac{1 \text{ m}}{100 \text{ cm}} \) and \( \frac{100 \text{ cm}}{1 \text{ m}} \).
Note that each conversion factor is a fraction that equals 1, allowing you to convert between meters and centimeters without changing the value of a measurement.
Use the conversion factor \( \frac{1 \text{ m}}{100 \text{ cm}} \) to convert from centimeters to meters by multiplying the given value in centimeters by this factor.
Use the conversion factor \( \frac{100 \text{ cm}}{1 \text{ m}} \) to convert from meters to centimeters by multiplying the given value in meters by this factor.
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Unit Equality
Unit equality refers to the relationship between two different units that represent the same quantity. For example, 1 meter is equal to 100 centimeters, establishing a direct conversion between these two units. This equality allows for the conversion of measurements from one unit to another without changing the actual value of the quantity.
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Conversion Factors
A conversion factor is a numerical factor used to multiply or divide a quantity when converting from one unit to another. It is derived from unit equalities and can be expressed in two ways. For the equality 1 m = 100 cm, the conversion factors can be written as 100 cm/1 m or 1 m/100 cm, allowing for flexibility in calculations depending on the desired unit.
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03:45Conversion Factors (Simplified) Example 2
Dimensional Analysis
Dimensional analysis is a mathematical technique used to convert between units by using conversion factors. It involves multiplying the quantity by a conversion factor that cancels out the original unit and introduces the desired unit. This method ensures that the final answer is expressed in the correct units, making it a powerful tool in chemistry and other scientific disciplines.
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