Primeira página
/
Química
/
Determine the empirical formulas for the compound with the following percent composition: 36.2% aluminum and 63.8% 3.8% sulfur Al_(2)S_(4) Al_(2)S_(3) Al_(3)S_(2) AlS_(3) Multiple Choice 1 point

Pergunta

Determine the empirical formulas for the compound with the following percent composition:
36.2%  aluminum and 63.8%  3.8% sulfur
Al_(2)S_(4)
Al_(2)S_(3)
Al_(3)S_(2)
AlS_(3)
Multiple Choice 1 point

Determine the empirical formulas for the compound with the following percent composition: 36.2% aluminum and 63.8% 3.8% sulfur Al_(2)S_(4) Al_(2)S_(3) Al_(3)S_(2) AlS_(3) Multiple Choice 1 point

Solução

expert verifiedVerification of experts
4.2226 Voting
avatar
DiegoElite · Tutor por 8 anos

Responder

To determine the empirical formula for the compound with the given percent composition, we need to convert the percentages to grams and then to moles.<br /><br />Given:<br />- Aluminum (Al): 36.2%<br />- Sulfur (S): 63.8%<br /><br />Assume we have 100 grams of the compound. This means we have:<br />- 36.2 grams of Al<br />- 63.8 grams of S<br /><br />Next, we convert the masses to moles using the molar masses of aluminum (Al) and sulfur (S):<br />- Molar mass of Al = 26.98 g/mol<br />- Molar mass of S = 32.06 g/mol<br /><br />Calculate the moles of each element:<br />\[ \text{Moles of Al} = \frac{36.2 \text{ g}}{26.98 \text{ g/mol}} \approx 1.34 \text{ moles} \]<br />\[ \text{Moles of S} = \frac{63.8 \text{ g}}{32.06 \text{ g/mol}} \approx 1.99 \text{ moles} \]<br /><br />Next, we find the simplest whole number ratio of the moles of Al to S:<br />\[ \text{Ratio of Al to S} = \frac{1.34}{1.34} : \frac{1.99}{1.34} \approx 1 : 1.49 \]<br /><br />To get whole numbers, we can multiply both ratios by a common factor to get the smallest whole number ratio. In this case, multiplying by 2 gives:<br />\[ 1 \times 2 : 1.49 \times 2 \approx 2 : 3 \]<br /><br />Thus, the empirical formula for the compound is:<br />\[ \text{Empirical formula} = \text{Al}_2\text{S}_3 \]<br /><br />So, the correct answer is:<br />\[ \boxed{\text{Al}_2\text{S}_3} \]
Clique para avaliar: