Perform the following conversions: (a) 0.076 L to mL, (b) 5.0 ×10^-8 m to nm, (c) 6.88 ×10^5

step 1 There are often multiple ways to carry out conversions depending on what conversion factor you u

Perform the following conversions: (a) 0.076 L to mL, (b)...

Perform the following conversions: (a) $0.076 \mathrm{~L}$ to $\mathrm{mL}$, (b) $5.0 \times 10^{-8} \mathrm{~m}$ to $\mathrm{nm}$, (c) $6.88 \times 10^{5} \mathrm{~ns}$ to $\mathrm{s}$, (d) $0.50 \mathrm{lb}$ to $\mathrm{g}$, (e) $1.55 \mathrm{~kg} / \mathrm{m}^{3}$ to $\mathrm{g} / \mathrm{L}$, (f) $5.850 \mathrm{gal} / \mathrm{hr}$ to $\mathrm{L} / \mathrm{s}$.

Key Concepts

Unit Conversions

Unit conversions involve changing a quantity expressed in one set of units into another, using mathematical relationships known as conversion factors. This process is essential in science and engineering to maintain consistency across calculations and ensure that measurements are comparable despite being expressed in various units.

Conversion Factors

Conversion factors are ratios that express how many of one unit are equivalent to another unit. They are used as multipliers that allow for the cancellation of unwanted units while converting a measurement to the desired units. This method is foundational in the field of metrology and aids in accurate computation by maintaining dimensional consistency.

Dimensional Analysis

Dimensional analysis is a technique used to verify the consistency of equations and to convert between units by treating units algebraically. It ensures that the resulting expressions have the correct units, helping to check the validity of equations and facilitating error checking in multi-step conversions.

SI Prefixes

SI prefixes are shorthand representations used to denote multiples or submultiples of units in the metric system. They help express quantities in more manageable terms by scaling numbers up or down, making it easier to work with very large or very small values in scientific calculations.

Rate Conversion

Rate conversion involves converting quantities that are expressed per unit of time or any other measure. This concept is crucial when dealing with quantities like flow rates or speeds, where units in both the numerator and denominator must be appropriately converted to obtain the correct rate in the desired system of units.

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