Question

An auditorium has dimensions 10.0m x 20.0m x 30.0m. How many molecules of air fill the auditorium at 20.0 degrees and a pressure of 101 kPa?

Answer 1

use the formula,\[n=\frac {PV}{RT}\]where\[R=0.0826 \frac{L-atm}{mol-K}\]\[P,~pressure~in~atmosplere~(atm)\]\[V,~volume~in~Liters~(L)\]\[T,~temperature~in~Kelvin~(K)\]\[n,~number~of~moles\]

Answer 2

and one mole contains \(\large 6.0221413\times 10^{23}\) molecules (avocadro's number)