The ideal gas law describes the relationship among the pressure PPP, volume VVV, number of moles nnn, and absolute temperature TTT of an ideal gas. Here is the relationship expressed mathematically:

PV=nRTPV=nRT

where RRR is a proportionality constant. The units of RRR are determined by the units of pressure and volume used in the equation. When barbar is used for pressure and LL for volume, the appropriate RRR value is 0.08314 L bar mol1 K10.08314 L bar mol1 K1. ->

How many air molecules are in a 4.573.663.05 m34.573.663.05 m3 room? Assume atmospheric pressure of 1.00 barbar, a room temperature of 20.0 CC, and ideal behavior.

Express your answer using three significant figures.