1. Let us assume that air comprises 78% nitrogen and 22% of oxygen, and assume that...

  

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1. Let us assume that air comprises 78% nitrogen and 22% of oxygen, and assume that there is no chemical reaction up to 15 km height. What are the concentrations of oxygen in ppm and molecules/cm³ at 0 km (T= 288K, 1 ATM) and 10 km (using scale height at T=223K) assuming no interaction between gas molecules (ideal). answer 0 km 0 km 10 km 10 km 220000 5.61E+18 220000 1.47E+18 PPM Molecules/cc PPM Molecules/cc ● Summary of Equations Atmospheric pressure (p) at height of z: p(z) = Poe-z/H where scale height: H(z) = RT(z)/gMair H(z): in unit of km R = 0.082 L atm K-¹ mol-¹ T(z): temperature (K) at height of z g= 9.8 m s-¹ Mair = 28.97 g mol-¹ b Black body temperature T(K) == max where b is Wien's constant: b = 2897768.5 nm K and max (nm) is the peak wavelength that the black body emits. Earth's temperature (Te, K): Te = [(1 − A)]¹/4 So: solar constant (1370 W m-²) A: planetary albedo (0.3) o: Stephan-Boltzmann constant (5.67 x 10-8 Wm-2K-4) 1. Let us assume that air comprises 78% nitrogen and 22% of oxygen, and assume that there is no chemical reaction up to 15 km height. What are the concentrations of oxygen in ppm and molecules/cm³ at 0 km (T= 288K, 1 ATM) and 10 km (using scale height at T=223K) assuming no interaction between gas molecules (ideal). answer 0 km 0 km 10 km 10 km 220000 5.61E+18 220000 1.47E+18 PPM Molecules/cc PPM Molecules/cc ● Summary of Equations Atmospheric pressure (p) at height of z: p(z) = Poe-z/H where scale height: H(z) = RT(z)/gMair H(z): in unit of km R = 0.082 L atm K-¹ mol-¹ T(z): temperature (K) at height of z g= 9.8 m s-¹ Mair = 28.97 g mol-¹ b Black body temperature T(K) == max where b is Wien's constant: b = 2897768.5 nm K and max (nm) is the peak wavelength that the black body emits. Earth's temperature (Te, K): Te = [(1 − A)]¹/4 So: solar constant (1370 W m-²) A: planetary albedo (0.3) o: Stephan-Boltzmann constant (5.67 x 10-8 Wm-2K-4)

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