what is the concentration of a sugar solution that contains 8 g sugar dissolved in 500 ml of water? explain in ration form
Well, let's calculate the concentration in a way that even sugars would find sweet! We have 8 grams of sugar dissolved in 500 milliliters of water. To put it in ratio form, the concentration can be expressed as 8g/500ml. However, let's simplify it by dividing both numbers by their greatest common factor, which is 4. So, the concentration of the sugar solution in ratio form is 2g/125ml. Voila! A sweet, simplified ratio that would make any math problem a little more enjoyable.
To determine the concentration of a sugar solution, we need to calculate the ratio of the mass of sugar to the volume of the solution.
Given:
Mass of sugar (m) = 8 g
Volume of solution (V) = 500 ml
The concentration is expressed in grams per milliliter (g/ml). Therefore, the ratio of sugar to the solution volume can be written as:
8 g / 500 ml
However, it is good practice to convert the units to a common one for easier comparison. Let's convert milliliters (ml) to liters (L), since the standard SI unit for volume is liters.
1 L = 1000 ml
Dividing both the numerator and denominator by 1000, we get:
8 g / (500 ml / 1000 ml/L)
8 g / 0.5 L
Simplifying further, the concentration can be written as:
16 g/L
So, the concentration of the sugar solution is 16 g/L.
To find the concentration of a sugar solution, you need to know the amount of sugar (in grams) dissolved in a given volume of water (in milliliters). The concentration is typically expressed as a ratio, with the amount of solute (sugar) over the volume of the solvent (water).
In this case, you have 8 grams of sugar dissolved in 500 milliliters of water. To express this as a ratio, you can write it as:
8 g : 500 ml
This ratio represents the concentration of the sugar solution.