General questions:

What is the number of air molecules in a 5m X 5m X 4m room at standard temperature and pressure...?

Thanks in advance

Question

General questions:
What is the number of air molecules in a 5m X 5m X 4m room at
standard temperature and pressure ?
Thanks in advance

Jyoti Pant · Accepted Answer

Here, Volume of room=5x5x4=100 $m^{3}$ ,

Room temperature T

$20^{ο} C = 20 + 273 = 293 K (S i n c e 0^{ο} C = 273 K) A t m o s p h e r i c p r e s s u r e P = 1.013 \times 10^{5} N / m^{2} R = 8.314 J / k . m o l$

Now by ideal gas equation,PV=nRT (where n=number of moles)

n = PV/RT

$= \frac{1.013 \times 10^{5} \times 100}{8.314 \times 293} = 4158 m o l e s N o w 1 m o l e = 6.023 \times 10^{23} m o l e c u l e s S o, 4158 m o l e s = 4158 \times 6.023 \times 10^{23} = 2.504 \times 10^{27} m o l e c u l e s .$

General questions: What is the number of air molecules in a 5m X 5m X 4m room at standard temperature and pressure...? Thanks in advance

General questions:

What is the number of air molecules in a 5m X 5m X 4m room at standard temperature and pressure...?

Thanks in advance