Sure! Let's go through the problem step by step.
Given:
1. Volume of fluorine gas: [tex]\(115.6\)[/tex] liters
2. Standard Temperature and Pressure (STP): Under STP conditions, 1 mole of any ideal gas occupies 22.4 liters.
To determine how many moles of fluorine are contained in 115.6 liters at STP, we can use the relationship between the volume of the gas and the number of moles.
Step 1: Identify the volume of the gas and the volume occupied by one mole of gas at STP:
- Volume occupied by 1 mole of a gas at STP: [tex]\(22.4\)[/tex] liters
- Given volume of fluorine gas: [tex]\(115.6\)[/tex] liters
Step 2: Calculate the number of moles of fluorine using the formula:
[tex]\[
\text{Number of moles} = \frac{\text{Volume of gas}}{\text{Volume per mole at STP}}
\][/tex]
Step 3: Substitute the given values into the formula:
[tex]\[
\text{Number of moles} = \frac{115.6 \, \text{liters}}{22.4 \, \text{liters/mole}}
\][/tex]
Step 4: Perform the calculation:
[tex]\[
\text{Number of moles} \approx 5.160714285714286
\][/tex]
Conclusion:
The number of moles of fluorine contained in [tex]\(115.6\)[/tex] liters at STP is approximately [tex]\(5.160714285714286\)[/tex] moles.
