Questions: 8. Balance the following reaction: Al(OH)3 + H2SO4 → Al2(SO4)3 + H2O a. 4 Al(OH)3 + 6 H2SO4 → 2 Al2(SO4)3 + 12 H2O b. 3 Al(OH)3 + 2 H2SO4 → 6 Al2(SO4)3 + H2O c. 2 Al(OH)3 + 3 H2SO4 → Al2(SO4)3 + 6 H2O d. 3 Al(OH)3 + 2 H2SO4 → 6 Al2(SO4)3 + H2O 9. Using the equation in question 8, if 0.25 g of Al(OH)3 is reacted how many grams of Al2(SO4)3 is produced? a. 1.1 grams b. 0.548 grams c. 0.605 grams d. 0.55 grams

8. Balance the following reaction: Al(OH)3 + H2SO4 → Al2(SO4)3 + H2O a. 4 Al(OH)3 + 6 H2SO4 → 2 Al2(SO4)3 + 12 H2O b. 3 Al(OH)3 + 2 H2SO4 → 6 Al2(SO4)3 + H2O c. 2 Al(OH)3 + 3 H2SO4 → Al2(SO4)3 + 6 H2O d. 3 Al(OH)3 + 2 H2SO4 → 6 Al2(SO4)3 + H2O 9. Using the equation in question 8, if 0.25 g of Al(OH)3 is reacted how many grams of Al2(SO4)3 is produced? a. 1.1 grams b. 0.548 grams c. 0.605 grams d. 0.55 grams
Transcript text: 8. Balance the following reaction: \[ \mathrm{Al}(\mathrm{OH})_{3}+\mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow \mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}+\mathrm{H}_{2} \mathrm{O} \] a. $4 \mathrm{Al}(\mathrm{OH})_{3}+6 \mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow 2 \mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}+12 \mathrm{H}_{2} \mathrm{O}$ b. $3 \mathrm{Al}(\mathrm{OH})_{3}+2 \mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow 6 \mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}+\mathrm{H}_{2} \mathrm{O}$ c. $2 \mathrm{Al}(\mathrm{OH})_{3}+3 \mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow \mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}+6 \mathrm{H}_{2} \mathrm{O}$ d. $3 \mathrm{Al}(\mathrm{OH})_{3}+2 \mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow 6 \mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}+\mathrm{H}_{2} \mathrm{O}$ 9. Using the equation in question 8 , if 0.25 g of $\mathrm{Al}(\mathrm{OH})_{3}$ is reacted how many grams of $\mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}$ is produced? a. 1.1 grams b. 0.548 grams c. 0.605 grams d. 0.55 grams
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Correct Balanced Equation

We need to balance the given chemical reaction: \[ \mathrm{Al}(\mathrm{OH})_{3} + \mathrm{H}_{2}\mathrm{SO}_{4} \rightarrow \mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3} + \mathrm{H}_{2}\mathrm{O} \]

By comparing the options provided:

  • Option (a) is balanced correctly: \[ 4 \mathrm{Al}(\mathrm{OH})_{3} + 6 \mathrm{H}_{2}\mathrm{SO}_{4} \rightarrow 2 \mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3} + 12 \mathrm{H}_{2}\mathrm{O} \]
Step 2: Calculate Molar Masses

Calculate the molar masses of the reactants and products:

  • Molar mass of \(\mathrm{Al}(\mathrm{OH})_{3}\): \[ \mathrm{Al}(\mathrm{OH})_{3} = 26.98 + 3(15.9994 + 1.0079) = 78.0036 \, \text{g/mol} \]
  • Molar mass of \(\mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}\): \[ \mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3} = 2(26.98) + 3(32.065 + 4(15.9994)) = 342.1508 \, \text{g/mol} \]
Step 3: Use Stoichiometry to Find the Mass of Product

Using the balanced equation: \[ 4 \mathrm{Al}(\mathrm{OH})_{3} + 6 \mathrm{H}_{2}\mathrm{SO}_{4} \rightarrow 2 \mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3} + 12 \mathrm{H}_{2}\mathrm{O} \]

From the balanced equation, 4 moles of \(\mathrm{Al}(\mathrm{OH})_{3}\) produce 2 moles of \(\mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}\).

First, find the moles of \(\mathrm{Al}(\mathrm{OH})_{3}\) in 0.25 g: \[ \text{Moles of } \mathrm{Al}(\mathrm{OH})_{3} = \frac{0.25 \, \text{g}}{78.0036 \, \text{g/mol}} = 0.0032 \, \text{mol} \]

Using the stoichiometric ratio: \[ \text{Moles of } \mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3} = \frac{0.0032 \, \text{mol} \times 2}{4} = 0.0016 \, \text{mol} \]

Finally, convert moles of \(\mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}\) to grams: \[ \text{Mass of } \mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3} = 0.0016 \, \text{mol} \times 342.1508 \, \text{g/mol} = 0.5474 \, \text{g} \]

Final Answer

\(\boxed{0.548 \, \text{grams}}\)

The answer is b. 0.548 grams.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
f: R^2 -> R^2, f(x, y) = (ax-2, by+3b) fonksiyonu sabit fonksiyon olduğuna göre a+b toplamı kaçtır? A) 5 B) 2 C) 1 D) -1 E) -3
failedAnswered
A random sample of male systolic blood pressure values is given below. Generate the normal quantile plot for this data set and determine whether or not the data come from a normally distributed population. 90 120 150 Do the data appear to come from a normally distributed population? A. Yes, but the points in the normal quantile plot do not lie reasonably close to a straight line or show a systematic pattern that is a straight line pattern. B. No, because the points in the normal quantile plot do not lie reasonably close to a straight line or show a systematic pattern that is a straight line pattern. C. No, but the points in the normal quantile plot lie reasonably close to a straight line and show some systematic pattern that is a straight line pattern. D. Yes, because the pattern of the points in the normal quantile plot is reasonably close to a straight line.
failedAnswered
A bacterial strain is resistant to infection by a bacteriophage. Which statement is FALSE? Multiple Choice The bacterial host DNA is protected from restriction enzyme degradation by phosphorylation. The bacteria make restriction enzymes that degrade the virus genome. If the phage DNA was methylated, it would be protected from restriction enzyme degradation. The statements are ALL false. The bacterial host DNA is protected from restriction enzyme degradation by methylation.
failedAnswered
Patient teaching included the need to increase protein and calories. A woman is questioning how to increase the protein and calories of her husband's diet. Which of the following strategies might the nurse suggest? Top baked potatoes with low-fat sour cream Add whipped cream to coffee Increase fruits topped with sugar or honey Substitute whole milk for water in recipes
failedAnswered
Part 1 of 3 (a) Find f(x) for the indicated values of x, if possible. (b) Find the domain of f. f(x)=x^3 for x=-1,2 (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. f(-1)= □ (Simplify your answer.) B. The value of f(-1) is undefined.