Question

How do you convert \[1.5{\rm{kg/L}}\] to \[{\rm{g/mL}}\]?

Answer 1

Hint: Here we will first convert the weight unit given in kilograms into the grams by multiplying the conversion factor. Then we will convert the unit liters into the milliliters by multiplying it with the conversion factor. We will simplify it further to get the required answer.

Complete step by step solution:
We need to convert \[1.5{\rm{kg/L}}\] into \[{\rm{g/mL}}\].
First, we will convert kilograms into grams.
We know that 1 kilogram is equal to 1000 grams. Therefore by using this conversion, we will get the value of the given weight in grams, we get
\[ \Rightarrow 1.5{\rm{kg/L}} = 1.5 \times \dfrac{{1000{\rm{g}}}}{{\rm{L}}}\]
Now we will convert the unit given in liters into the milliliters.
We know that 1 liter is equal to 1000 milliliters. Therefore by using this conversion, we will get the value of the unit in milliliters, we get
\[ \Rightarrow 1.5{\rm{kg/L}} = 1.5 \times \dfrac{{1000{\rm{g}}}}{{1000{\rm{mL}}}}\]
Now by simply solving the above equation, we get
\[ \Rightarrow 1.5{\rm{kg/L}} = 1.5{\rm{g/mL}}\]

Hence, \[1.5{\rm{kg/L}}\] is equal to \[1.5{\rm{g/mL}}\].

Note:
We should know the basic terms of the conversation for length or weight or time etc. To convert a dimension given in one unit into another unit we have to multiply or divide the converting factor. Generally, for converting some dimension into small units of measurement, we will multiply it with the converting factor. However, for converting the dimension into higher units of measurement, we will divide it by the converting factor. We should remember that the kilogram (kg), gram (g), and milligram (mg) are the units of the measurement of the weight of an object, and liter (L) or milliliter (mL) are the units of the measurement of the liquid.