QuestionJuly 16, 2025

What is the mass in grams of 5.7times 10^25 formula units of aluminium sulfate? square

What is the mass in grams of 5.7times 10^25 formula units of aluminium sulfate? square
What is the mass in grams of 5.7times 10^25 formula units of aluminium sulfate?
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Solution
4.3(196 votes)

Answer

3.24 \times 10^4 grams Explanation 1. Calculate molar mass of aluminium sulfate Aluminium sulfate is Al_2(SO_4)_3. Molar mass = 2 \times 27 + 3 \times (32 + 4 \times 16) = 342 g/mol. 2. Convert formula units to moles Use Avogadro's number: 1 mole = 6.022 \times 10^{23} formula units. Moles = \frac{5.7 \times 10^{25}}{6.022 \times 10^{23}}. 3. Calculate mass in grams Mass = moles \times molar mass = \left(\frac{5.7 \times 10^{25}}{6.022 \times 10^{23}}\right) \times 342.

Explanation

1. Calculate molar mass of aluminium sulfate<br /> Aluminium sulfate is $Al_2(SO_4)_3$. Molar mass = $2 \times 27 + 3 \times (32 + 4 \times 16) = 342$ g/mol.<br />2. Convert formula units to moles<br /> Use Avogadro's number: $1$ mole = $6.022 \times 10^{23}$ formula units. Moles = $\frac{5.7 \times 10^{25}}{6.022 \times 10^{23}}$.<br />3. Calculate mass in grams<br /> Mass = moles $\times$ molar mass = $\left(\frac{5.7 \times 10^{25}}{6.022 \times 10^{23}}\right) \times 342$.
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