13.6 Estimate the total number of air molecules (inclusive of oxygen, nitrogen, water vapour and other constituents) in a room of capacity 25.0 $m^{3}$ at a temperature of 27 °C and 1 atm pressure.

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Payal Gupta | Contributor-Level 10

9 months ago

13.6 Volume of the room, V = 25.0 $m^{3}$

Temperature of the room, T = 27 $?$ = 300 K

Pressure of the room, P = 1 atm = 1 $*$ 1.013 $* 10^{5}$ Pa

The ideal gas equation relating to pressure (P), volume (V) and absolute temperature (T) can be written as

PV = $k_{B}$ NT, where $k_{B}$ is Boltzmann constant = 1.38 $* 10^{- 23}$ $m^{2} k g s^{- 2} K^{- 1}$

N is the number of air mole

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13.6 Estimate the total number of air molecules (inclusive of oxygen, nitrogen, water vapour and other constituents) in a room of capacity 25.0 m3 at a temperature of 27 °C and 1 atm pressure.

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