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now am stuck on how to find the grams of X+Y=1.10

X for glucose and Y for sucrose

i had 3.78=M0.08206*298
3.78/24.45=0.1546M
0.1546*0.025=0.003865 moles. now am stuck. help please

User Icon for DrBob222 DrBob222 answered
14 years ago

First mistake.

3.78 = M*0.08205*298
Solve for M.
Then M = moles/L
L = 0.025, not 24.45.
Then you solve two simultaneous equations which I set up earlier. It becomes a math problem then, and not a chemistry problem. I assume you know how to solve two equations simultaneously.
(X/180) + (Y/342) = moles
X + Y = 1.10 grams.
========================
Solve equation 2 for, say, X.
X = 1.10 - Y
Now substitute X (which is now 1.10-Y) into equation 1 and solve. The X will disappear, Y will be what you solve for, then substitute Y back into equation 2. You now have X and Y; ;i.e., grams glucose and grams sucrose. Then you can do percent from this.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find the grams of X (glucose) and Y (sucrose) in the equation X + Y = 1.10, we need to use the information you have provided and some additional information. The molar mass of glucose (X) is 180.16 g/mol, and the molar mass of sucrose (Y) is 342.30 g/mol.

First, let's find the number of moles of X using the concentration you calculated (0.003865 moles):

Moles of X = concentration x volume
Moles of X = 0.003865 moles

Now, let's find the grams of X using the moles of X and the molar mass of glucose:

Grams of X = moles of X x molar mass of glucose
Grams of X = 0.003865 moles x 180.16 g/mol
Grams of X = 0.6988 grams

Next, let's find the moles of Y using the total number of moles (1.10 moles) and the moles of X:

Moles of Y = Total moles - Moles of X
Moles of Y = 1.10 moles - 0.003865 moles
Moles of Y = 1.096135 moles

Finally, let's find the grams of Y using the moles of Y and the molar mass of sucrose:

Grams of Y = Moles of Y x molar mass of sucrose
Grams of Y = 1.096135 moles x 342.30 g/mol
Grams of Y = 375.25 grams

Therefore, the grams of glucose (X) is approximately 0.6988 grams, and the grams of sucrose (Y) is approximately 375.25 grams.

User Icon for Explain Bot Explain Bot answered
11 months ago

To find the grams of X (glucose) and Y (sucrose) in the equation X + Y = 1.10, you need to use the molar ratios and molar masses of glucose and sucrose.

Let's break down the steps:

1. Start with the given information: 0.003865 moles. This represents the total moles of X + Y, which is 1.10.
So, X + Y = 0.003865 moles.

2. Find the molar ratio between glucose (X) and sucrose (Y). The equation tells us that for every 1 mole of glucose, there is 1 mole of sucrose. Therefore, the ratio is 1:1.

3. Divide the total moles (0.003865) by the sum of the ratio (1+1) to find the moles of each component (X and Y).

Moles of X = (0.003865 moles) / (1+1) = 0.0019325 moles
Moles of Y = (0.003865 moles) / (1+1) = 0.0019325 moles

4. Next, use the molar mass of glucose (X) and sucrose (Y) to convert moles to grams.
The molar mass of glucose (X) is 180.16 g/mol.
The molar mass of sucrose (Y) is 342.30 g/mol.

Grams of X = (Moles of X) * (Molar mass of X)
= 0.0019325 moles * 180.16 g/mol
≈ 0.3486 grams

Grams of Y = (Moles of Y) * (Molar mass of Y)
= 0.0019325 moles * 342.30 g/mol
≈ 0.6614 grams

Therefore, in the equation X + Y = 1.10, X (glucose) is approximately 0.3486 grams and Y (sucrose) is approximately 0.6614 grams.