Answer:
T = 288.15 K
Explanation:
from gas law for dry air, the average surface temperature of dry air in the atmosphere can be computed as:
[tex]\rho = \frac{P}{RT}[/tex]
where, [tex]\rho[/tex] is density of dry air = 1.225 kg/m3,
P is standard air pressure) =101.325 kPa = 101325 Pa,
R is gas constant = 287.05 J / (kg.K)
substituting the values, we get
[tex]1.225 = \frac{101325}{(287.05) (T)}[/tex]
solving for T we get
[tex]T = \frac{101325}{( (287.05) (1.225) )}[/tex]
T = 288.15 K
