URGENT: If 2.24g of salicylic acid is reacted with 61mL methanol, what is the maximum mass of product that could be formed? The density of methanol is 0.791g/mL.
Do I just multiply 61ml by 0.791g/ml
to get 48.251 g methanol then multiply this by the 2.24g of salicylic acid?
No, this is a limiting reagent problem.
1. Write the equation and balance it.
2a. Convert 2.24 g salicylic acid to moles. moles = grams/molar mass.
2b. Convert 61 mL methanol to grams (as you suggested with the density), then to moles.
3a. Using the coefficients in the balanced, convert moles salicylic acid to moles of the product.
3b. Same procedure, convert moles methanol to moles of the product.
3c. It is likely that moles of the product from 3a and 3b will be different. Obviously, one is incorrect. The correct one is ALWAYS the smaller value in limiting reagent problems and the reagent giving that number is the limiting reagent.
4. Now take the smaller value from 3c and convert to grams. grams = moles x molar mass. That will be the theoretical yield of the reaction assuming 100% yield.
Thank you that was very helpful!!!
To calculate the maximum mass of the product formed, we need to determine the limiting reactant. This is the reactant that is completely consumed in the reaction, limiting the amount of product that can be formed.
First, let's find the number of moles of each reactant:
- Moles of salicylic acid = mass of salicylic acid / molar mass of salicylic acid.
The molar mass of salicylic acid (C7H6O3) is approximately 138.12 g/mol.
Moles of salicylic acid = 2.24 g / 138.12 g/mol.
- Moles of methanol = volume of methanol (in mL) x density of methanol (in g/mL) / molar mass of methanol.
The molar mass of methanol (CH3OH) is approximately 32.04 g/mol.
Moles of methanol = 61 mL x 0.791 g/mL / 32.04 g/mol.
Next, we need to compare the moles of the two reactants to determine the limiting reactant. The reactant with fewer moles is the limiting reactant.
Now, let's calculate the moles of each reactant:
Moles of salicylic acid = 2.24 g / 138.12 g/mol ≈ 0.0162 mol.
Moles of methanol = 61 mL x 0.791 g/mL / 32.04 g/mol ≈ 1.508 mol.
Since the moles of salicylic acid (0.0162 mol) are much smaller than the moles of methanol (1.508 mol), salicylic acid is the limiting reactant.
Next, let's calculate the theoretical yield of the product using the limiting reactant (salicylic acid):
To do this, we need to convert the moles of salicylic acid to moles of the product using the balanced chemical equation for the reaction.
Since the balanced chemical equation is not provided, we cannot determine the molar ratio between salicylic acid and the product. Without this information, we cannot calculate the theoretical yield.
However, assuming a balanced chemical equation is given, you would multiply the moles of salicylic acid by the molar mass of the product to find the maximum mass of the product.
To calculate the maximum mass of product that could be formed, we need to use the concept of limiting reactants. In this case, we have salicylic acid and methanol.
Start by calculating the number of moles of salicylic acid. The molar mass of salicylic acid is 138.12 g/mol.
Number of moles of salicylic acid = mass of salicylic acid / molar mass
Number of moles = 2.24 g / 138.12 g/mol
Next, let's calculate the number of moles of methanol using its density and volume. The density of methanol is given as 0.791 g/mL.
Mass of methanol = density * volume
Mass of methanol = 0.791 g/mL * 61 mL
Now, convert the mass of methanol to moles using its molar mass. The molar mass of methanol is 32.04 g/mol.
Number of moles of methanol = mass of methanol / molar mass
Number of moles = (0.791 g/mL * 61 mL) / 32.04 g/mol
The next step is to determine which reactant will be the limiting reactant. Compare the number of moles of salicylic acid and methanol, and identify the smaller value.
The limiting reactant is the one with the smaller number of moles. Let's assume that the salicylic acid is the limiting reactant.
Next, we need to determine the stoichiometry of the reaction. The balanced equation for the reaction will give us the mole ratio between salicylic acid and the product. If the balanced equation is not given, it's important to include it in the question for more accurate calculation.
Assuming the balanced equation is:
2C7H6O3 (salicylic acid) + 3CH3OH (methanol) -> 3C8H8O3 (product) + 3H2O
From the balanced equation, we can see that the mole ratio between salicylic acid and the product is 2:3.
Now, using the mole ratio, we can calculate the number of moles of the product that could be formed.
Number of moles of product = number of moles of salicylic acid * (3 moles of product / 2 moles of salicylic acid)
Finally, calculate the mass of the product using its molar mass. If the molar mass of the product is not given, you will need to include it in the question for more accurate calculation.
Mass of product = number of moles of product * molar mass of the product
Step-by-step calculation allows for a more accurate and reliable answer.