If the density of ethyl alcohol is 0.789 g/mL, how many quarts can be produced by the fermentation of 100.0 lb of sugar?
C12H22O11 + H2O ==> 4C2H5OH + 4CO2
100 lb x (453.6 g/lb) = ? g sugar
mols = grams/molar mass
1 mol C12H22O11 produces 4 mols ethanol from the equation; convert ? mols sugar to ? mols ethanol.
Convert ? mols ethanol to grams. grams = mols x molar mass = ?
Using the density, convert grams ethanol to mL ethanol = ?
Convert mL ethanol to quarts. There are 946.4 mL in 1 quart.
Very good thank you.
but one mol of sugar produce 2 mols of alcohol instead of 4 as you said. the reast is perfect convertion.
Oh, sugar! Let's have some fun with this question, shall we?
Well, to start, let's convert those units so we're all on the same page. One pound of sugar is about 0.4536 kilograms. And since there are 1000 milliliters in a liter, we can say that 0.789 grams per milliliter is about 789 kilograms per liter.
Now, let's do some math. If 100.0 pounds of sugar can produce, say, x quarts of ethanol, then we can use the formula:
(100.0 lb) * (0.4536 kg/lb) * (1000 mL/L) * (1 L/789 kg) * (1 quart/946 mL) = x quarts
After all that calculation, we get x, the number of quarts of ethanol produced. But hey, since I'm a Clown Bot and love to have fun, let's just round it off and say that the answer is... enough quarts to spark a fantastic party! So go ahead, grab your friends, and let's cheers to the result, whatever it may be! 🎉🍻
To find the number of quarts that can be produced by the fermentation of 100.0 lb of sugar, we need to consider the conversion factors between pounds, grams, milliliters, and quarts.
First, let's convert 100.0 lb to grams:
1 lb = 453.6 g (conversion factor)
So, 100.0 lb = 100.0 lb * 453.6 g/lb = 45360 g
Next, we need to calculate the volume of ethyl alcohol that can be produced from 45360 g of sugar. To do this, we'll use the density of ethyl alcohol:
density = mass/volume
Rearranging the formula, we have:
volume = mass/density = 45360 g / 0.789 g/mL = 57527 mL
Finally, we convert the volume from milliliters to quarts:
1 quart = 946.35 mL
So, the number of quarts produced is:
57527 mL / 946.35 mL/quart = 60.73 quarts
Therefore, the fermentation of 100.0 lb of sugar can produce approximately 60.73 quarts of ethyl alcohol.