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Answer :
To determine how many moles are in 99.8 grams of Clâ‚‚ (chlorine gas), you can use the formula:
[tex]\[ \text{moles} = \frac{\text{mass}}{\text{molar mass}} \][/tex]
Here’s a detailed step-by-step solution:
1. Identify the Molar Mass of Clâ‚‚:
Chlorine (Cl) has an approximate atomic mass of 35.453 grams/mol. Since Clâ‚‚ consists of two chlorine atoms, the molar mass of Clâ‚‚ is:
[tex]\[ 2 \times 35.453 = 70.906 \, \text{grams/mol} \][/tex]
2. Determine the Given Mass:
The problem states that you have 99.8 grams of Clâ‚‚.
3. Use the Formula to Calculate Moles:
Plug the given mass and molar mass into the formula to find the number of moles:
[tex]\[ \text{moles of Clâ‚‚} = \frac{99.8 \, \text{grams}}{70.906 \, \text{grams/mol}} \][/tex]
4. Calculate the Result:
When you perform the division, you get approximately:
[tex]\[ \text{moles of Clâ‚‚} \approx 1.41 \, \text{moles} \][/tex]
Therefore, there are about 1.41 moles of Clâ‚‚ in 99.8 grams of chlorine gas.
[tex]\[ \text{moles} = \frac{\text{mass}}{\text{molar mass}} \][/tex]
Here’s a detailed step-by-step solution:
1. Identify the Molar Mass of Clâ‚‚:
Chlorine (Cl) has an approximate atomic mass of 35.453 grams/mol. Since Clâ‚‚ consists of two chlorine atoms, the molar mass of Clâ‚‚ is:
[tex]\[ 2 \times 35.453 = 70.906 \, \text{grams/mol} \][/tex]
2. Determine the Given Mass:
The problem states that you have 99.8 grams of Clâ‚‚.
3. Use the Formula to Calculate Moles:
Plug the given mass and molar mass into the formula to find the number of moles:
[tex]\[ \text{moles of Clâ‚‚} = \frac{99.8 \, \text{grams}}{70.906 \, \text{grams/mol}} \][/tex]
4. Calculate the Result:
When you perform the division, you get approximately:
[tex]\[ \text{moles of Clâ‚‚} \approx 1.41 \, \text{moles} \][/tex]
Therefore, there are about 1.41 moles of Clâ‚‚ in 99.8 grams of chlorine gas.
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