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°C?

Question

Quizplus · Accepted Answer

The number of molecules of air needed to fill the auditorium can be calculated using the ideal gas law:PV = nRTwhere P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.At one atmosphere and 0°C, the number of moles of air needed to fill the auditorium can be calculated as follows:n = PV/RT = (1 atm)(6 × 10^3 m^3)/(0.0821 Latm/(molK))(273 K) = 2.8 × 10^4 molThe number of molecules of air needed to fill the auditorium can then be calculated as follows:N = nN_A = (2.8 × 10^4 mol)(6.022 × 10^23 molecules/mol) = 1.6 × 10^27 moleculesTherefore, the correct answer is B) 1.6 × 10^27.

An Auditorium Has a Volume of 6 × 103 M3

An Auditorium Has a Volume of 6 × 10³ M³