nutrition scientists have determined that for long distance running in the desert, a drink containing 5.0 glycerol per 100 mL of water is ideal. convert this to ounces per quart. Round to two significant digits.
5g/100mL * 1oz/28.35g * 1000mL/L * 1L/1.057qt
= (5*1000)/(100*28.35*1.057) = 1.67 oz/qt
I assume you meant:
5.0 ml glycerol per 100 mL of water
So it just becomes a ration of 5 : 100 or 1 : 20
If I recall: 1 US quart = 32 US fluid ounces
or 1 Imperial quart = 40 Imperial ounces
Going with the US version:
32 ounces = 1 quart
so 1 ounce = 1/32 quarts
but for every ounce of glycerin we need 20 ounces of water
1 ounce of glycerin = 20(1/32) quarts of water
1 ounce of glycerin per .63 quarts of water
or
1.6 ounces of glycerin per 1 quart of water
or:
5 ml/100 ml = x ounces / 1 quart
5 ml/100 ml = x ounces / 32 ounces
5/100 = x/32
100x = 160
x = 1.6
so you need 1.6 quarts of water for 1 ounce of glycerin.
(why not just stick with the metric system ??? )
To convert the concentration of glycerol from grams per 100 mL to ounces per quart, we need to follow a few conversion steps.
Step 1: Convert grams to ounces.
1 ounce is equivalent to 28.35 grams.
Therefore, 5.0 grams of glycerol is equal to 5.0/28.35 ounces.
Step 2: Determine the desired volume.
1 quart is equal to 32 fluid ounces.
Step 3: Convert mL to fluid ounces.
1 mL is equivalent to 0.033814 fluid ounces.
Therefore, 100 mL is equal to 100 * 0.033814 fluid ounces.
Now, we can calculate the concentration in ounces per quart.
(5.0/28.35) ounces / (100 * 0.033814) fluid ounces = (5.0/28.35) / (100 * 0.033814) ounces per fluid ounce
We can simplify this equation further.
(5.0/28.35) / (100 * 0.033814) = (5.0 * 0.0295735) / (28.35 * 0.033814) = 0.0055556 / 0.958611 = 0.0058, rounded to two significant digits.
Therefore, the concentration of glycerol in ounces per quart is approximately 0.0058 ounces per quart.