Math Problem Statement

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

Solution

Let's solve the problem using dimensional analysis step by step.

Step 1: Identify the given quantity and the conversion factor.

  • Given: 700nL700 \, \text{nL} (nanoliters)
  • Conversion factor: 1mL=106nL1 \, \text{mL} = 10^6 \, \text{nL}

Step 2: Set up the dimensional analysis equation.

We want to convert nanoliters (nL) to milliliters (mL). We use the conversion factor so that nanoliters cancel out, leaving milliliters as the unit.

700nL×(1mL106nL)700 \, \text{nL} \times \left(\frac{1 \, \text{mL}}{10^6 \, \text{nL}}\right)

Step 3: Perform the calculation.

Now, multiply the quantity by the conversion factor:

700nL×1mL1,000,000nL=7001,000,000mL700 \, \text{nL} \times \frac{1 \, \text{mL}}{1,000,000 \, \text{nL}} = \frac{700}{1,000,000} \, \text{mL}

=0.0007mL= 0.0007 \, \text{mL}

Final Answer:

The drop contains 0.0007 mL.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How many milliliters are in 1,000 nanoliters?
  2. How many liters are in 700 milliliters?
  3. If a drop is 700 microliters, how many milliliters is that?
  4. How do you convert from nanoliters to liters?
  5. What is the equivalent of 0.0007 mL in microliters?

Tip: In dimensional analysis, always ensure that the units you want to cancel are in the numerator and denominator to simplify the calculation correctly.

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

Grades 9-12