Question

The density of mercury is 13.6 g/mL (grams per milliliter). What is the mass in kilograms of a 2 L commercial flask of mercury?10. Stuck on this dimensional analysis question! Would like to get a step by step answer so I can understand it, thank you!

Answer 1

27200 grams

Explanation

the density of an object is given by:

$\text{density}=\frac{mass\text{ of the object}}{\text{volume of the object}}$

so, we have

Step 1

Let

$\text{density}=13.6\text{ }\frac{g}{mL}$

we are told that the volume is 2 Liters, so we need to convert form liters to mililiters:To convert from a larger unit to a smaller one, multiply. To convert from a smaller unit to a larger one, divide.

therefore

$2\text{ Liter(}\frac{1000\text{ mL}}{1\text{ L}}\text{)=2000 mL}$

hence

volume=1000 ML

mass= unknow value= m

now, replace in the formula

$\begin{gathered} \text{density}=\frac{mass\text{ of the object}}{\text{volume of the object}} \\ 13.6\text{ }\frac{g}{mL}=\frac{m}{2000\text{ mL}} \\ 13.6=\frac{m}{2000} \\ \text{Multiply both sides by 2000} \\ 13.6\cdot2000=\frac{m}{2000}\cdot2000 \\ 27200=m \\ m=27200\text{ grams} \end{gathered}$

hence, the answer is 27200 grams

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