Question

a student sets up the following equation to solve a problem in solution stoichiometry. (the ? stands for a number the student is going to calculate.) enter the units of the students answer. $\frac{(1.48 mol)(\frac{1 ml}{10^{-3} l})}{(6.5\frac{mol}{l})}=?square$

Explanation:

Step1: Analyze the units in the numerator

The numerator has units of mol and mL/L. The mol - unit in the numerator is from the 1.48 mol quantity and the $\frac{1\ mL}{10^{- 3}\ L}$ is a unit - conversion factor. The combined units in the numerator are $\text{mol}\times\frac{\text{mL}}{\text{L}}$.

Step2: Analyze the units in the denominator

The denominator has units of mol/L.

Step3: Divide the units

When we divide $\text{mol}\times\frac{\text{mL}}{\text{L}}$ by $\frac{\text{mol}}{\text{L}}$, the mol and L units cancel out.
\[
\frac{\text{mol}\times\frac{\text{mL}}{\text{L}}}{\frac{\text{mol}}{\text{L}}}=\text{mL}
\]

Answer:

mL