Question

What is the conversion of grams to mL?

Answer 1

Hint: We are asked to find the conversion of grams to milliliters in the given question. We can do this by comparing the amount of substance present in each gram and each milliliter and then perform the conversion using suitable mathematical expressions.

Complete step by step solution:
The unit of weight is generally denoted by kilogram or kg. We can write one gram as a thousandth of a kilogram since a kilo represents ten to the power of 3 or a thousand. The weight of a substance is the amount of mass it holds or the amount of matter it contains. We can express the weight of all matter using systematically pre-defined measures such as grams. Assuming the density of a substance to be 1000 $\dfrac{kg}{{{m}^{3}}}$ , in other words, assuming its weight is 1000kg in a volume of 1${{m}^{3}}$ , for a weight of 1 gram, we can clearly see that the volume would be $\dfrac{1}{{{10}^{6}}}{{m}^{3}}$ or one $c{{m}^{3}}$ .

The amount of space or the volume that a certain substance, particularly fluids takes up is denoted by Liters. The unit of volume for a fluid is liters. One liter is defined as one decimeter cube of volume, hence, $1L=1d{{m}^{3}}$ , for a milliliter, we can write $1mL=\dfrac{1}{1000}d{{m}^{3}}$ or we can rewrite this as, $1mL=1c{{m}^{3}}$ . Therefore, we can clearly see that for a substance whose density is 1000 $\dfrac{kg}{{{m}^{3}}}$, the conversion from grams to mL would be $1g=1mL$ .

Note: In general, if we are asked to convert say x grams into mL it would be,
$xg=xmL$ , if and only if the density of x is given to be 1000 $\dfrac{kg}{{{m}^{3}}}$, else the conversion rule changes accordingly. A similar procedure can be used to find the conversion from grams to mL for substances of different density.