An auditorium has dimensions 10m x 10m x 60m. How many moles of air fill this volume at STP?

I'm stumped.

To calculate the number of moles of air in the given volume at standard temperature and pressure (STP), we need to know the molar volume of air at STP.

At STP, the molar volume of any ideal gas is approximately 22.4 liters (or 0.0224 cubic meters) per mole.

To find the volume of the auditorium in cubic meters (m³), we need to multiply its dimensions:

Volume of the auditorium = 10m x 10m x 60m = 6000 cubic meters (m³)

Now, we can calculate the number of moles of air using the molar volume at STP:

Number of moles = Volume of auditorium / Molar volume at STP

Number of moles = 6000 m³ / 0.0224 m³/mol ≈ 267,857.14 moles

Therefore, approximately 267,857 moles of air fill the given auditorium at STP.