Question

1. use dimensional analysis, convert 6.2 x 10^21 cl to zl. be sure to show your work with correct sig figs.

Explanation:

Step1: Recall the conversion factor

1 ZL = 10^{21} cL.

Step2: Set up the conversion equation

Let \(V\) be the volume in ZL. We know that \(V=\frac{6.2\times 10^{- 21}\text{ cL}}{10^{21}\text{ cL/ZL}}\).

Step3: Perform the calculation

Using the rule of exponents \(a^m\div a^n=a^{m - n}\), we have \(V = 6.2\times10^{-21-21}\text{ ZL}=6.2\times 10^{-42}\text{ ZL}\).

Answer:

\(6.2\times 10^{-42}\text{ ZL}\)