To determine the volume occupied by 4.76 moles of xenon at Standard Temperature and Pressure (STP), we need to use the principle that at STP, one mole of any ideal gas occupies a specific volume. The volume occupied by one mole of an ideal gas at STP is 22.414 liters.
Here's a step-by-step solution to find the volume occupied by 4.76 moles of xenon at STP:
1. Identify the volume per mole at STP:
At STP, one mole of an ideal gas occupies 22.414 liters.
2. Identify the number of moles given:
The problem states that we have 4.76 moles of xenon.
3. Calculate the total volume:
To find the total volume occupied by 4.76 moles of xenon, we multiply the number of moles by the volume per mole.
[tex]\[
\text{Total Volume} = \text{Number of Moles} \times \text{Volume per Mole}
\][/tex]
4. Substitute the known values into the equation:
[tex]\[
\text{Total Volume} = 4.76 \, \text{moles} \times 22.414 \, \text{liters/mole}
\][/tex]
5. Perform the multiplication:
[tex]\[
\text{Total Volume} = 4.76 \times 22.414 = 106.69064 \, \text{liters}
\][/tex]
Therefore, the volume occupied by 4.76 moles of xenon at STP is 106.69064 liters.
