The molarity of a kool-aid packet is 0.365M. How many grams of sucrose (C12H22O11) are in 200mL of the kool-aid drink?
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I know that the molar mass is 342.29648 g/mol kool-aid. I'm not sure on how to find the grams of the solute.
You're assuming the Kool-Aid drink is pure sugar. Then grams sucrose = molarity x liters x molar mass = 0.346 x 0.200 x 342 = ? g sucrose.
To find the number of grams of sucrose (C12H22O11) in 200 mL of the Kool-Aid drink, you can follow these steps:
1. Convert the volume of the Kool-Aid drink from milliliters (mL) to liters (L).
200 mL = 0.2 L
2. Use the formula C = n/V, where C is the concentration, n is the number of moles, and V is the volume.
Rearrange the formula to solve for the number of moles.
n = C * V
n = 0.365 mol/L * 0.2 L
3. Calculate the number of moles of sucrose.
Since the molarity of the Kool-Aid packet is given as 0.365M, the number of moles of sucrose would be the same.
n (sucrose) = 0.365 mol
4. Calculate the mass of sucrose using the molar mass.
Molar mass of sucrose (C12H22O11) = 12 * 12.01 g/mol + 22 * 1.01 g/mol + 11 * 16.00 g/mol
Molar mass of sucrose = 342.34 g/mol
Mass of sucrose = molar mass * number of moles
Mass of sucrose = 342.34 g/mol * 0.365 mol
5. Perform the calculation to find the mass of sucrose in grams.
Mass of sucrose = 124.97 grams
Therefore, there are approximately 124.97 grams of sucrose (C12H22O11) in 200 mL of the Kool-Aid drink.
To find the grams of sucrose (C12H22O11) in 200mL of the kool-aid drink, we need to use the definition of molarity.
Molarity (M) is defined as the number of moles of solute per liter of solution. This means that for every 1 liter of kool-aid drink at a molarity of 0.365M, we have 0.365 moles of sucrose (C12H22O11).
First, to find the number of moles of sucrose, we can use the equation:
moles = molarity x volume (in liters)
Since we have 200mL of the kool-aid drink, we need to convert the volume to liters:
volume (in liters) = 200mL / 1000 = 0.2L
Now we can calculate the number of moles of sucrose:
moles = 0.365M x 0.2L = 0.073 moles
Finally, to find the grams of sucrose, we can use the molar mass of sucrose (C12H22O11):
grams = moles x molar mass
grams = 0.073 moles x 342.29648 g/mol = 24.989 g
Therefore, there are approximately 24.989 grams of sucrose (C12H22O11) in 200mL of the kool-aid drink.