How many air molecules are in a room at temperature 23.8 °C and standard pressure if the dimensions of the room are 3.44 m × 3.26 m × 2.28 m?

Question

Quizplus · Accepted Answer

The number of molecules can be calculated using the ideal gas law and Avogadro's number. The volume of the room is 3.44 m × 3.26 m × 2.28 m = 25.57 m³. At standard pressure and temperature, 1 mole of gas occupies 22.4 L (0.0224 m³). The number of moles is 25.57 m³ / 0.0224 m³/mol = 1141.52 mol. Multiplying by Avogadro's number (6.022 × 10²³ molecules/mol) gives approximately 6.32 × 10²⁶ molecules.

How Many Air Molecules Are in a Room at Temperature