How many liters of CO2 will be formed from 200. grams of this sugar at STP?
C6H12O6--2C2H6O+2CO2
To determine the number of liters of CO2 formed from 200 grams of sugar, we first need to find the number of moles of CO2 produced. We can use the balanced chemical equation to do this:
C6H12O6 → 2C2H6O + 2CO2
From the equation, we can see that for every mole of C6H12O6, 2 moles of CO2 are produced. Therefore, we need to find the number of moles of C6H12O6 using the given mass and then use the mole ratio to determine the moles of CO2 produced.
Step 1: Convert the mass of sugar (C6H12O6) to moles.
The molar mass of C6H12O6 is:
(6 * 12.01 g/mol) + (12 * 1.01 g/mol) + (6 * 16.00 g/mol) = 180.18 g/mol
To find the number of moles of sugar:
moles of C6H12O6 = mass of C6H12O6 (in grams) / molar mass of C6H12O6
moles of C6H12O6 = 200 g / 180.18 g/mol
Step 2: Use the mole ratio to find the moles of CO2 produced.
From the balanced equation, we know that for every mole of C6H12O6, 2 moles of CO2 are produced, so the mole ratio is 2:1 (2 moles of CO2 per 1 mole of C6H12O6).
moles of CO2 = moles of C6H12O6 * (2 moles of CO2 / 1 mole of C6H12O6)
Step 3: Convert moles of CO2 to liters at STP.
At standard temperature and pressure (STP), 1 mole of any gas occupies 22.4 liters. Therefore, we can convert moles of CO2 to liters:
liters of CO2 = moles of CO2 * 22.4 L/mol
Now, you can plug in the values from Step 1 and Step 2 to calculate the number of liters of CO2 formed.