Math Problem Statement

An isolated drop of mist contained 700 nL. How many ml is the drop? use dimensional analysis

Solution

To convert 700 nL (nanoliters) to mL (milliliters) using dimensional analysis, follow these steps:

  1. Identify the conversion factor:

    • 1mL=106nL1 \, \text{mL} = 10^6 \, \text{nL}
  2. Set up the dimensional analysis: 700nL×1mL106nL=mL700 \, \text{nL} \times \frac{1 \, \text{mL}}{10^6 \, \text{nL}} = \text{mL}

  3. Perform the calculation: 700nL×1mL1,000,000nL=7001,000,000mL=0.0007mL700 \, \text{nL} \times \frac{1 \, \text{mL}}{1,000,000 \, \text{nL}} = \frac{700}{1,000,000} \, \text{mL} = 0.0007 \, \text{mL}

So, the drop contains 0.0007 mL.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How many microliters are in 700 nanoliters?
  2. What is the volume in liters of 700 nanoliters?
  3. If you have 5 drops, each containing 700 nL, what is the total volume in milliliters?
  4. How do you convert milliliters to nanoliters?
  5. What would be the volume in milliliters if the drop was 1 microliter?

Tip: Always double-check your conversion factors when performing dimensional analysis to avoid errors.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Dimensional Analysis
Unit Conversion

Formulas

-

Theorems

-

Suitable Grade Level

High School