Question

a common unit to measure concentration is molarity (m). to calculate the molarity, you must know how many liters of solution you are working with. sometimes, you may not even be given the liters of solution. you may only have a value in milliliters (ml). can you convert 1.41e+3 milliliters to liters?

Explanation:

Step1: Write the conversion factor

Since \(1\space L = 1000\space mL\), the conversion factor is \(\frac{1\space L}{1000\space mL}\)

Step2: Convert milliliters to liters

\(1.41\times10^{3}\space mL\times\frac{1\space L}{1000\space mL}\)
\(1.41\times10^{3}\times10^{- 3}\space L\) (using \(a^{m}\times a^{n}=a^{m + n}\), here \(m = 3\) and \(n=-3\))
\(1.41\times10^{3-3}\space L=1.41\times10^{0}\space L = 1.41\space L\)

Answer:

\(1.41\) liters