An auditorium has a volume of 6 *10³ m³.How many molecules of air are needed to fill the auditorium at one atmosphere and 0 $\degree$C? A)1.6 *10²⁹ B)1.6 * 10²⁷ C)1.6 * 10²⁵ D)1.6 * 10²³ E)1.6 * 10²⁰

Question

Quizplus · Accepted Answer

The number of molecules in a volume of gas is given by the formula:N = (PV)/(RT)where:N is the number of moleculesP is the pressureV is the volumeR is the gas constantT is the temperatureIn this problem, we are given the following information:V = 6 x 10^3 m^3P = 1 atm = 1.013 x 10^5 PaT = 0°C = 273.15 KR = 8.314 J/(mol K)Substituting these values into the formula, we get:N = (1.013 x 10^5 Pa x 6 x 10^3 m^3)/(8.314 J/(mol K) x 273.15 K) = 1.6 x 10^29 moleculesTherefore, the correct answer is A) 1.6 x 10^29.

An Auditorium Has a Volume of 6 *103 M3 °\degree° C? A)1

An Auditorium Has a Volume of 6 *10³ M³ $\degree$ C?
A)1