Question

question 2
1.25 pts
a fellow classmate asks you to check their work. they are trying to convert 14.3 ml into μl. the answer they show you is 143,000μl or 1.43 × 10⁵μl? how do you respond to their question after viewing their answer?
○ they made a mistake in their conversion. their answer is 100 times too low.
○ their answer is mostly correct, but incorrectly written in scientific notation.
○ they made a mistake in their conversion. their answer is 10 times too low.
○ they made a mistake in their conversion. their answer is 100 times too high.
○ they made a mistake in their conversion. their answer is 10 times too high.

Explanation:

Step1: Recall unit conversion factor

We know that \(1\space mL = 1000\space \mu L\) (since \(1\space \mu L = 10^{- 3}\space mL\), so reciprocal gives \(1\space mL=10^{3}\space \mu L\)).

Step2: Convert \(14.3\space mL\) to \(\mu L\)

Using the conversion factor, \(14.3\space mL\times1000\space \frac{\mu L}{mL}=14300\space \mu L\) or in scientific notation \(1.43\times 10^{4}\space \mu L\).

Step3: Analyze the given answer

The classmate's answer is \(143000\space \mu L = 1.43\times 10^{5}\space \mu L\). Let's find the ratio of the classmate's answer to the correct answer: \(\frac{1.43\times 10^{5}}{1.43\times 10^{4}} = 10\). So the classmate's answer is 10 times too high.

Answer:

They made a mistake in their conversion. Their answer is 10 times too high.