Question

which conversion factor would be used to convert g/mol to g/l?
a. l/g
b. mol/g
c. l/mol
d. mol/l

Explanation:

Step1: Analyze unit - conversion principle

We know that to convert $\frac{g}{mol}$ to $\frac{g}{L}$, we need to cancel out the 'mol' unit in the denominator of $\frac{g}{mol}$ and introduce the 'L' unit in the denominator.
Let's assume we have a quantity $x$ in $\frac{g}{mol}$. If we multiply $x$ by a conversion factor $y$, we want $x\times y$ to be in $\frac{g}{L}$.
If $x = \frac{g}{mol}$ and we multiply it by $\frac{mol}{L}$, we get $\frac{g}{mol}\times\frac{mol}{L}=\frac{g}{L}$.

Step2: Identify the correct conversion factor

The conversion factor that will cancel out 'mol' and introduce 'L' in the denominator is $\frac{mol}{L}$.

Answer:

D. mol/L