A classroom measures and is completely sealed during a short experiment

CHEMISTRY · Multi-part · A Level · Chemistry · Amount of substance · Amount of substance

Problem

A classroom measures 8.0 m×6.0 m×3.0 m8.0\,\text{m}\times6.0\,\text{m}\times3.0\,\text{m} and is completely sealed during a short experiment. Take the density of air as 1.2 kg m−31.2\,\text{kg}\,\text{m}^{-3}, the molar mass of air as 29 g mol−129\,\text{g}\,\text{mol}^{-1} and Avogadro’s number as 6.02×1023 mol−16.02\times10^{23}\,\text{mol}^{-1}. Using these values, find the order of magnitude of the number of air molecules present in the room. Work out your answer in the steps given below. (i) Calculate the volume of air enclosed in the room. (ii) Determine the mass of the enclosed air. (iii) Estimate the number of air molecules present and state its order of magnitude.

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