Question

convert the following measurement.
$7.79\times 10^{5}\frac{g}{molcdot l}=\textcircled{1}\frac{kg}{molcdot dl}$

Explanation:

Step1: Convert grams to kilograms

We know that $1\ kg = 1000\ g=10^{3}\ g$, so to convert from $\frac{g}{mol\cdot L}$ to $\frac{kg}{mol\cdot L}$, we divide by $10^{3}$. So $7.79\times 10^{5}\frac{g}{mol\cdot L}=\frac{7.79\times 10^{5}}{10^{3}}\frac{kg}{mol\cdot L}=7.79\times 10^{2}\frac{kg}{mol\cdot L}$.

Step2: Convert liters to deciliters

We know that $1\ L = 10\ dL$. To convert from $\frac{kg}{mol\cdot L}$ to $\frac{kg}{mol\cdot dL}$, we multiply by 10. So $7.79\times 10^{2}\frac{kg}{mol\cdot L}=7.79\times 10^{2}\times10\frac{kg}{mol\cdot dL}=7.79\times 10^{3}\frac{kg}{mol\cdot dL}$.

Answer:

$7.79\times 10^{3}$